72932403600 has 405 divisors, whose sum is σ = 294876039393. Its totient is φ = 16644337920.

The previous prime is 72932403581. The next prime is 72932403629. The reversal of 72932403600 is 630423927.

It is a happy number.

The square root of 72932403600 is 270060.

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

72932403600 is a `hidden beast` number, since 7 + 2 + 9 + 3 + 2 + 40 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26255665296 + 46676738304 = 162036^2 + 216048^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 113424879 + ... + 113425521.

Almost surely, 2^72932403600 is an apocalyptic number.

72932403600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72932403600 is the 270060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72932403600

72932403600 is an abundant number, since it is smaller than the sum of its proper divisors (221943635793).

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

72932403600 is a wasteful number, since it uses less digits than its factorization.

72932403600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Multiplying 72932403600 by its sum of digits (36), we get a square (2625566529600 = 1620360²).

72932403600 divided by its sum of digits (36) gives a square (2025900100 = 45010²).

It can be divided in two parts, 72932403 and 600, that added together give a triangular number (72933003 = T₁₂₀₇₇).

The spelling of 72932403600 in words is "seventy-two billion, nine hundred thirty-two million, four hundred three thousand, six hundred".