72420180 has 96 divisors (see below), whose sum is σ = 232968960. Its totient is φ = 16465920.

The previous prime is 72420167. The next prime is 72420193. The reversal of 72420180 is 8102427.

It is an interprime number because it is at equal distance from previous prime (72420167) and next prime (72420193).

It is a self number, because there is not a number n which added to its sum of digits gives 72420180.

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, 112660 + ... + 113300.

It is an arithmetic number, because the mean of its divisors is an integer number (2426760).

Almost surely, 2^72420180 is an apocalyptic number.

72420180 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72420180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116484480).

72420180 is an abundant number, since it is smaller than the sum of its proper divisors (160548780).

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

72420180 is a wasteful number, since it uses less digits than its factorization.

72420180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 72420180 is about 8510.0047003512. The cubic root of 72420180 is about 416.8244636105.

The spelling of 72420180 in words is "seventy-two million, four hundred twenty thousand, one hundred eighty".