72150090 has 16 divisors (see below), whose sum is σ = 173160288. Its totient is φ = 19240016.

The previous prime is 72150083. The next prime is 72150101. The reversal of 72150090 is 9005127.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72150090.

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, 1202472 + ... + 1202531.

It is an arithmetic number, because the mean of its divisors is an integer number (10822518).

Almost surely, 2^72150090 is an apocalyptic number.

72150090 is an abundant number, since it is smaller than the sum of its proper divisors (101010198).

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

72150090 is a wasteful number, since it uses less digits than its factorization.

72150090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405013.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 72150090 is about 8494.1209080163. The cubic root of 72150090 is about 416.3056378478.

The spelling of 72150090 in words is "seventy-two million, one hundred fifty thousand, ninety".