72435640 has 64 divisors (see below), whose sum is σ = 177292800. Its totient is φ = 26523648.

The previous prime is 72435611. The next prime is 72435659. The reversal of 72435640 is 4653427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23721 + ... + 26599.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2^72435640 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 72435640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88646400).

72435640 is an abundant number, since it is smaller than the sum of its proper divisors (104857160).

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

72435640 is a wasteful number, since it uses less digits than its factorization.

72435640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2940 counting only the distinct ones).

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

The square root of 72435640 is about 8510.9129945030. The cubic root of 72435640 is about 416.8541222301.

The spelling of 72435640 in words is "seventy-two million, four hundred thirty-five thousand, six hundred forty".