72356440 has 64 divisors (see below), whose sum is σ = 176268960. Its totient is φ = 26572800.

The previous prime is 72356407. The next prime is 72356441. The reversal of 72356440 is 4465327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72356441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180240 + ... + 180640.

Almost surely, 2^72356440 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 72356440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88134480).

72356440 is an abundant number, since it is smaller than the sum of its proper divisors (103912520).

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

72356440 is a wasteful number, since it uses less digits than its factorization.

72356440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 72356440 is about 8506.2588721482. The cubic root of 72356440 is about 416.7021395577.

The spelling of 72356440 in words is "seventy-two million, three hundred fifty-six thousand, four hundred forty".