72516600 has 192 divisors, whose sum is σ = 269253600. Its totient is φ = 17832960.

The previous prime is 72516599. The next prime is 72516601. The reversal of 72516600 is 661527.

72516600 is a `hidden beast` number, since 7 + 2 + 51 + 6 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (72516599) and next prime (72516601).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72516601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69684 + ... + 70716.

Almost surely, 2^72516600 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 72516600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134626800).

72516600 is an abundant number, since it is smaller than the sum of its proper divisors (196737000).

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

72516600 is a wasteful number, since it uses less digits than its factorization.

72516600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72516600 is about 8515.6679127359. The cubic root of 72516600 is about 417.0093678347.

The spelling of 72516600 in words is "seventy-two million, five hundred sixteen thousand, six hundred".