72230976 has 84 divisors (see below), whose sum is σ = 209511900. Its totient is φ = 23789568.

The previous prime is 72230969. The next prime is 72230981. The reversal of 72230976 is 67903227.

It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 66585600 = 2376^2 + 8160^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72230976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50560 + ... + 51968.

Almost surely, 2^72230976 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 72230976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104755950).

72230976 is an abundant number, since it is smaller than the sum of its proper divisors (137280924).

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

72230976 is a wasteful number, since it uses less digits than its factorization.

72230976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72230976 is about 8498.8808675025. The cubic root of 72230976 is about 416.4611503457.

The spelling of 72230976 in words is "seventy-two million, two hundred thirty thousand, nine hundred seventy-six".