72174816 has 72 divisors (see below), whose sum is σ = 234574704. Its totient is φ = 20620800.

The previous prime is 72174811. The next prime is 72174847. The reversal of 72174816 is 61847127.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72174811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15885 + ... + 19916.

It is an arithmetic number, because the mean of its divisors is an integer number (3257982).

Almost surely, 2^72174816 is an apocalyptic number.

It is an amenable number.

72174816 is an abundant number, since it is smaller than the sum of its proper divisors (162399888).

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

72174816 is a wasteful number, since it uses less digits than its factorization.

72174816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35824 (or 35813 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 72174816 is about 8495.5762606194. The cubic root of 72174816 is about 416.3531887127.

The spelling of 72174816 in words is "seventy-two million, one hundred seventy-four thousand, eight hundred sixteen".