72872976 has 60 divisors (see below), whose sum is σ = 206941616. Its totient is φ = 22080960.

The previous prime is 72872951. The next prime is 72872977. The reversal of 72872976 is 67927827.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (72872977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466 + ... + 12081.

Almost surely, 2^72872976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72872976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103470808).

72872976 is an abundant number, since it is smaller than the sum of its proper divisors (134068640).

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

72872976 is a wasteful number, since it uses less digits than its factorization.

72872976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12580 (or 12563 counting only the distinct ones).

The product of its digits is 592704, while the sum is 48.

The square root of 72872976 is about 8536.5669914785. The cubic root of 72872976 is about 417.6913695933.

The spelling of 72872976 in words is "seventy-two million, eight hundred seventy-two thousand, nine hundred seventy-six".