72164754 has 24 divisors (see below), whose sum is σ = 163156032. Its totient is φ = 23008920.

The previous prime is 72164749. The next prime is 72164761. The reversal of 72164754 is 45746127.

72164754 is a `hidden beast` number, since 7 + 2 + 1 + 647 + 5 + 4 = 666.

It is an unprimeable number.

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, 86742 + ... + 87569.

It is an arithmetic number, because the mean of its divisors is an integer number (6798168).

Almost surely, 2^72164754 is an apocalyptic number.

72164754 is an abundant number, since it is smaller than the sum of its proper divisors (90991278).

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

72164754 is a wasteful number, since it uses less digits than its factorization.

72164754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174342 (or 174339 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72164754 is about 8494.9840494259. The cubic root of 72164754 is about 416.3338396714. Note that the first 3 decimals are identical.

The spelling of 72164754 in words is "seventy-two million, one hundred sixty-four thousand, seven hundred fifty-four".