72906912 has 96 divisors (see below), whose sum is σ = 229037760. Its totient is φ = 22429440.

The previous prime is 72906907. The next prime is 72906913. The reversal of 72906912 is 21960927.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (72906913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7987 + ... + 14477.

It is an arithmetic number, because the mean of its divisors is an integer number (2385810).

Almost surely, 2^72906912 is an apocalyptic number.

72906912 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 72906912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114518880).

72906912 is an abundant number, since it is smaller than the sum of its proper divisors (156130848).

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

72906912 is a wasteful number, since it uses less digits than its factorization.

72906912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523 (or 6509 counting only the distinct ones).

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

The square root of 72906912 is about 8538.5544444010. The cubic root of 72906912 is about 417.7561973495.

The spelling of 72906912 in words is "seventy-two million, nine hundred six thousand, nine hundred twelve".