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73725540 = 22357296053
BaseRepresentation
bin1000110010011…
…11011001100100
312010201122102120
410121033121210
5122333204130
611152105540
71553441160
oct431173144
9163648376
1073725540
11386860a9
12208352b0
13123744a5
149b11ca0
156714910
hex464f664

73725540 has 96 divisors (see below), whose sum is σ = 244097280. Its totient is φ = 16267776.

The previous prime is 73725517. The next prime is 73725551. The reversal of 73725540 is 4552737.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9154 + ... + 15206.

It is an arithmetic number, because the mean of its divisors is an integer number (2542680).

Almost surely, 273725540 is an apocalyptic number.

73725540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73725540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122048640).

73725540 is an abundant number, since it is smaller than the sum of its proper divisors (170371740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73725540 is a wasteful number, since it uses less digits than its factorization.

73725540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 73725540 is about 8586.3577842995. The cubic root of 73725540 is about 419.3139593758.

The spelling of 73725540 in words is "seventy-three million, seven hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6053 6090 12106 12180 18159 24212 30265 36318 42371 60530 72636 84742 90795 121060 127113 169484 175537 181590 211855 254226 351074 363180 423710 508452 526611 635565 702148 847420 877685 1053222 1228759 1271130 1755370 2106444 2457518 2542260 2633055 3510740 3686277 4915036 5266110 6143795 7372554 10532220 12287590 14745108 18431385 24575180 36862770 73725540