72664800 has 288 divisors, whose sum is σ = 271670112. Its totient is φ = 16711680.

The previous prime is 72664799. The next prime is 72664841. The reversal of 72664800 is 846627.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530332 + ... + 530468.

It is an arithmetic number, because the mean of its divisors is an integer number (943299).

Almost surely, 2^72664800 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 72664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135835056).

72664800 is an abundant number, since it is smaller than the sum of its proper divisors (199005312).

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

72664800 is a wasteful number, since it uses less digits than its factorization.

72664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 72664800 is about 8524.3650789956. The cubic root of 72664800 is about 417.2932510463.

The spelling of 72664800 in words is "seventy-two million, six hundred sixty-four thousand, eight hundred".