72608857200 has 1080 divisors, whose sum is σ = 302006781440. Its totient is φ = 16080768000.

The previous prime is 72608857177. The next prime is 72608857207. The reversal of 72608857200 is 275880627.

72608857200 is a `hidden beast` number, since 72 + 6 + 0 + 8 + 8 + 572 + 0 + 0 = 666.

It is a super-2 number, since 2×72608857200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72608857207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 256568259 + ... + 256568541.

Almost surely, 2^72608857200 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 72608857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151003390720).

72608857200 is an abundant number, since it is smaller than the sum of its proper divisors (229397924240).

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

72608857200 is a wasteful number, since it uses less digits than its factorization.

72608857200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 72608857200 in words is "seventy-two billion, six hundred eight million, eight hundred fifty-seven thousand, two hundred".