72150584 has 48 divisors (see below), whose sum is σ = 156827880. Its totient is φ = 30855680.

The previous prime is 72150583. The next prime is 72150607. The reversal of 72150584 is 48505127.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72150584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72150583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24014 + ... + 26850.

Almost surely, 2^72150584 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 72150584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78413940).

72150584 is an abundant number, since it is smaller than the sum of its proper divisors (84677296).

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

72150584 is a wasteful number, since it uses less digits than its factorization.

72150584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 72150584 is about 8494.1499869028. The cubic root of 72150584 is about 416.3065879714.

The spelling of 72150584 in words is "seventy-two million, one hundred fifty thousand, five hundred eighty-four".