72639040 has 56 divisors (see below), whose sum is σ = 177027840. Its totient is φ = 28374528.

The previous prime is 72639023. The next prime is 72639043. The reversal of 72639040 is 4093627.

It is a junction number, because it is equal to n+sod(n) for n = 72638993 and 72639011.

It is not an unprimeable number, because it can be changed into a prime (72639043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11121 + ... + 16399.

Almost surely, 2^72639040 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 72639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88513920).

72639040 is an abundant number, since it is smaller than the sum of its proper divisors (104388800).

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

72639040 is a wasteful number, since it uses less digits than its factorization.

72639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 72639040 is about 8522.8539820884. The cubic root of 72639040 is about 417.2439344370.

The spelling of 72639040 in words is "seventy-two million, six hundred thirty-nine thousand, forty".