72597440 has 56 divisors (see below), whose sum is σ = 178856640. Its totient is φ = 28034048.

The previous prime is 72597433. The next prime is 72597457. The reversal of 72597440 is 4479527.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72597394 and 72597403.

It is a congruent number.

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, 5369 + ... + 13191.

Almost surely, 2^72597440 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 72597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89428320).

72597440 is an abundant number, since it is smaller than the sum of its proper divisors (106259200).

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

72597440 is a wasteful number, since it uses less digits than its factorization.

72597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7869 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 72597440 is about 8520.4131355234. The cubic root of 72597440 is about 417.1642680840.

It can be divided in two parts, 72597 and 440, that added together give a palindrome (73037).

The spelling of 72597440 in words is "seventy-two million, five hundred ninety-seven thousand, four hundred forty".