72164280 has 128 divisors (see below), whose sum is σ = 235468800. Its totient is φ = 17625600.

The previous prime is 72164251. The next prime is 72164291. The reversal of 72164280 is 8246127.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70170 + ... + 71190.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 2^72164280 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 72164280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117734400).

72164280 is an abundant number, since it is smaller than the sum of its proper divisors (163304520).

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

72164280 is a wasteful number, since it uses less digits than its factorization.

72164280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 72164280 is about 8494.9561505637. The cubic root of 72164280 is about 416.3329281338.

The spelling of 72164280 in words is "seventy-two million, one hundred sixty-four thousand, two hundred eighty".