72960912 has 100 divisors (see below), whose sum is σ = 222359280. Its totient is φ = 23032512.

The previous prime is 72960907. The next prime is 72960947. The reversal of 72960912 is 21906927.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23143 + ... + 26105.

Almost surely, 2^72960912 is an apocalyptic number.

72960912 is a gapful number since it is divisible by the number (72) 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 72960912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111179640).

72960912 is an abundant number, since it is smaller than the sum of its proper divisors (149398368).

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

72960912 is a wasteful number, since it uses less digits than its factorization.

72960912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 72960912 is about 8541.7159868495. The cubic root of 72960912 is about 417.8593117949.

The spelling of 72960912 in words is "seventy-two million, nine hundred sixty thousand, nine hundred twelve".