72346164 has 48 divisors (see below), whose sum is σ = 185525760. Its totient is φ = 21759840.

The previous prime is 72346159. The next prime is 72346187. The reversal of 72346164 is 46164327.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16377 + ... + 20319.

It is an arithmetic number, because the mean of its divisors is an integer number (3865120).

Almost surely, 2^72346164 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 72346164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92762880).

72346164 is an abundant number, since it is smaller than the sum of its proper divisors (113179596).

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

72346164 is a wasteful number, since it uses less digits than its factorization.

72346164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4098 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 72346164 is about 8505.6548248797. The cubic root of 72346164 is about 416.6824120628.

The spelling of 72346164 in words is "seventy-two million, three hundred forty-six thousand, one hundred sixty-four".