72039040 has 64 divisors (see below), whose sum is σ = 177822720. Its totient is φ = 27878400.

The previous prime is 72039017. The next prime is 72039041. The reversal of 72039040 is 4093027.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 72038996 and 72039014.

It is not an unprimeable number, because it can be changed into a prime (72039041) 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, 18025 + ... + 21655.

It is an arithmetic number, because the mean of its divisors is an integer number (2778480).

Almost surely, 2^72039040 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 72039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88911360).

72039040 is an abundant number, since it is smaller than the sum of its proper divisors (105783680).

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

72039040 is a wasteful number, since it uses less digits than its factorization.

72039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 72039040 is about 8487.5815165452. The cubic root of 72039040 is about 416.0919422026.

The spelling of 72039040 in words is "seventy-two million, thirty-nine thousand, forty".