72435816 has 64 divisors (see below), whose sum is σ = 201931200. Its totient is φ = 24058944.

The previous prime is 72435787. The next prime is 72435821. The reversal of 72435816 is 61853427.

72435816 is a `hidden beast` number, since 72 + 4 + 3 + 581 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 95310 + ... + 96066.

It is an arithmetic number, because the mean of its divisors is an integer number (3155175).

Almost surely, 2^72435816 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 72435816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100965600).

72435816 is an abundant number, since it is smaller than the sum of its proper divisors (129495384).

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

72435816 is a wasteful number, since it uses less digits than its factorization.

72435816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1205 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72435816 is about 8510.9233341630. The cubic root of 72435816 is about 416.8544598460.

The spelling of 72435816 in words is "seventy-two million, four hundred thirty-five thousand, eight hundred sixteen".