72428180 has 54 divisors (see below), whose sum is σ = 168155358. Its totient is φ = 26185280.

The previous prime is 72428159. The next prime is 72428221. The reversal of 72428180 is 8182427.

It can be written as a sum of positive squares in 3 ways, for example, as 37405456 + 35022724 = 6116^2 + 5918^2 .

It is a super-2 number, since 2×72428180² = 10491682516224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 418574 + ... + 418746.

Almost surely, 2^72428180 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 72428180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84077679).

72428180 is an abundant number, since it is smaller than the sum of its proper divisors (95727178).

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

72428180 is a wasteful number, since it uses less digits than its factorization.

72428180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 72428180 is about 8510.4747223642. The cubic root of 72428180 is about 416.8398114180.

The spelling of 72428180 in words is "seventy-two million, four hundred twenty-eight thousand, one hundred eighty".