72385164 has 60 divisors (see below), whose sum is σ = 190568224. Its totient is φ = 23957856.

The previous prime is 72385141. The next prime is 72385169. The reversal of 72385164 is 46158327.

It is a super-2 number, since 2×72385164² = 10479223934613792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72385169) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50157 + ... + 51579.

Almost surely, 2^72385164 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 72385164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95284112).

72385164 is an abundant number, since it is smaller than the sum of its proper divisors (118183060).

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

72385164 is a wasteful number, since it uses less digits than its factorization.

72385164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1585 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72385164 is about 8507.9471084393. The cubic root of 72385164 is about 416.7572729536.

The spelling of 72385164 in words is "seventy-two million, three hundred eighty-five thousand, one hundred sixty-four".