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72483750 = 2325417379
BaseRepresentation
bin1000101001000…
…00001110100110
312001101120000100
410110200032212
5122023440000
611105324530
71540046613
oct424401646
9161346010
1072483750
1137a08129
1220336746
131202b1c1
1498ab50a
15656ba00
hex45203a6

72483750 has 120 divisors (see below), whose sum is σ = 208339560. Its totient is φ = 18144000.

The previous prime is 72483743. The next prime is 72483751. The reversal of 72483750 is 5738427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72483751) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 191061 + ... + 191439.

It is an arithmetic number, because the mean of its divisors is an integer number (1736163).

Almost surely, 272483750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72483750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104169780).

72483750 is an abundant number, since it is smaller than the sum of its proper divisors (135855810).

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

72483750 is a wasteful number, since it uses less digits than its factorization.

72483750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 72483750 is about 8513.7388966306. The cubic root of 72483750 is about 416.9463899475.

The spelling of 72483750 in words is "seventy-two million, four hundred eighty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 125 150 153 170 225 250 255 306 375 379 425 450 510 625 750 758 765 850 1125 1137 1250 1275 1530 1875 1895 2125 2250 2274 2550 3411 3750 3790 3825 4250 5625 5685 6375 6443 6822 7650 9475 10625 11250 11370 12750 12886 17055 18950 19125 19329 21250 28425 31875 32215 34110 38250 38658 47375 56850 57987 63750 64430 85275 94750 95625 96645 115974 142125 161075 170550 191250 193290 236875 284250 289935 322150 426375 473750 483225 579870 710625 805375 852750 966450 1421250 1449675 1610750 2131875 2416125 2899350 4026875 4263750 4832250 7248375 8053750 12080625 14496750 24161250 36241875 72483750