72697600 has 108 divisors (see below), whose sum is σ = 185403064. Its totient is φ = 28200960.

The previous prime is 72697571. The next prime is 72697601. The reversal of 72697600 is 679627.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 72697600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72697601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236647 + ... + 236953.

Almost surely, 2^72697600 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 72697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92701532).

72697600 is an abundant number, since it is smaller than the sum of its proper divisors (112705464).

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

72697600 is a wasteful number, since it uses less digits than its factorization.

72697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 72697600 is about 8526.2887588915. The cubic root of 72697600 is about 417.3560286210.

The spelling of 72697600 in words is "seventy-two million, six hundred ninety-seven thousand, six hundred".