72530164 has 48 divisors (see below), whose sum is σ = 150087168. Its totient is φ = 30024288.

The previous prime is 72530153. The next prime is 72530179. The reversal of 72530164 is 46103527.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 128547 + ... + 129109.

It is an arithmetic number, because the mean of its divisors is an integer number (3126816).

Almost surely, 2^72530164 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 72530164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75043584).

72530164 is an abundant number, since it is smaller than the sum of its proper divisors (77557004).

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

72530164 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 72530164 = (12046375)₁₃.

72530164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 72530164 is about 8516.4642898330. The cubic root of 72530164 is about 417.0353663069.

The spelling of 72530164 in words is "seventy-two million, five hundred thirty thousand, one hundred sixty-four".