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73704972 = 223112232207
BaseRepresentation
bin1000110010010…
…10011000001100
312010200121012210
410121022120030
5122332024342
611151430420
71553324205
oct431123014
9163617183
1073704972
1138671700
1220825410
1312368013
149b085ac
15670d79c
hex464a60c

73704972 has 72 divisors (see below), whose sum is σ = 197342208. Its totient is φ = 21354080.

The previous prime is 73704959. The next prime is 73704973. The reversal of 73704972 is 27940737.

It is a self number, because there is not a number n which added to its sum of digits gives 73704972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73704973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32293 + ... + 34499.

It is an arithmetic number, because the mean of its divisors is an integer number (2740864).

Almost surely, 273704972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73704972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98671104).

73704972 is an abundant number, since it is smaller than the sum of its proper divisors (123637236).

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

73704972 is a wasteful number, since it uses less digits than its factorization.

73704972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 73704972 is about 8585.1599868610. The cubic root of 73704972 is about 419.2749622537.

The spelling of 73704972 in words is "seventy-three million, seven hundred four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1452 1518 2207 2783 3036 4414 5566 6621 8349 8828 11132 13242 16698 24277 26484 33396 48554 50761 72831 97108 101522 145662 152283 203044 267047 291324 304566 534094 558371 609132 801141 1068188 1116742 1602282 1675113 2233484 3204564 3350226 6142081 6700452 12284162 18426243 24568324 36852486 73704972