72696960 has 256 divisors, whose sum is σ = 294739200. Its totient is φ = 16588800.

The previous prime is 72696931. The next prime is 72696979. The reversal of 72696960 is 6969627.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120660 + ... + 121260.

It is an arithmetic number, because the mean of its divisors is an integer number (1151325).

Almost surely, 2^72696960 is an apocalyptic number.

72696960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147369600).

72696960 is an abundant number, since it is smaller than the sum of its proper divisors (222042240).

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

72696960 is a wasteful number, since it uses less digits than its factorization.

72696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 72696960 is about 8526.2512278257. The cubic root of 72696960 is about 417.3548038734.

The spelling of 72696960 in words is "seventy-two million, six hundred ninety-six thousand, nine hundred sixty".