72931600 has 135 divisors (see below), whose sum is σ = 207221391. Its totient is φ = 24595200.

The previous prime is 72931553. The next prime is 72931601. The reversal of 72931600 is 613927.

The square root of 72931600 is 8540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 33593616 + 39337984 = 5796^2 + 6272^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72931601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1195570 + ... + 1195630.

Almost surely, 2^72931600 is an apocalyptic number.

72931600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72931600 is the 8540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72931600

72931600 is an abundant number, since it is smaller than the sum of its proper divisors (134289791).

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

72931600 is a wasteful number, since it uses less digits than its factorization.

72931600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The cubic root of 72931600 is about 417.8033460619.

The spelling of 72931600 in words is "seventy-two million, nine hundred thirty-one thousand, six hundred".