72562608 has 160 divisors (see below), whose sum is σ = 222604800. Its totient is φ = 22581504.

The previous prime is 72562583. The next prime is 72562621. The reversal of 72562608 is 80626527.

72562608 is a `hidden beast` number, since 7 + 25 + 626 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 665658 + ... + 665766.

It is an arithmetic number, because the mean of its divisors is an integer number (1391280).

Almost surely, 2^72562608 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 72562608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111302400).

72562608 is an abundant number, since it is smaller than the sum of its proper divisors (150042192).

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

72562608 is a wasteful number, since it uses less digits than its factorization.

72562608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 72562608 is about 8518.3688579446. The cubic root of 72562608 is about 417.0975394210.

The spelling of 72562608 in words is "seventy-two million, five hundred sixty-two thousand, six hundred eight".