72982440 has 48 divisors (see below), whose sum is σ = 237194100. Its totient is φ = 19461888.

The previous prime is 72982423. The next prime is 72982451. The reversal of 72982440 is 4428927.

It can be written as a sum of positive squares in 2 ways, for example, as 69455556 + 3526884 = 8334^2 + 1878^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 72982395 and 72982404.

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, 101005 + ... + 101724.

Almost surely, 2^72982440 is an apocalyptic number.

It is an amenable number.

72982440 is an abundant number, since it is smaller than the sum of its proper divisors (164211660).

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

72982440 is a wasteful number, since it uses less digits than its factorization.

72982440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202746 (or 202739 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72982440 is about 8542.9760622397. The cubic root of 72982440 is about 417.9004059022.

The spelling of 72982440 in words is "seventy-two million, nine hundred eighty-two thousand, four hundred forty".