72981896 has 32 divisors (see below), whose sum is σ = 149401560. Its totient is φ = 33219072.

The previous prime is 72981889. The next prime is 72981913. The reversal of 72981896 is 69818927.

It can be written as a sum of positive squares in 4 ways, for example, as 70324996 + 2656900 = 8386^2 + 1630^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2786 + ... + 12398.

Almost surely, 2^72981896 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 72981896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74700780).

72981896 is an abundant number, since it is smaller than the sum of its proper divisors (76419664).

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

72981896 is a wasteful number, since it uses less digits than its factorization.

72981896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9705 (or 9701 counting only the distinct ones).

The product of its digits is 435456, while the sum is 50.

The square root of 72981896 is about 8542.9442231587. The cubic root of 72981896 is about 417.8993675776.

The spelling of 72981896 in words is "seventy-two million, nine hundred eighty-one thousand, eight hundred ninety-six".