72728180 has 24 divisors (see below), whose sum is σ = 174547968. Its totient is φ = 24935328.

The previous prime is 72728177. The next prime is 72728203. The reversal of 72728180 is 8182727.

It is a super-2 number, since 2×72728180² = 10578776332224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 72728180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259604 + ... + 259883.

It is an arithmetic number, because the mean of its divisors is an integer number (7272832).

Almost surely, 2^72728180 is an apocalyptic number.

72728180 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72728180 is an abundant number, since it is smaller than the sum of its proper divisors (101819788).

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

72728180 is a wasteful number, since it uses less digits than its factorization.

72728180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519503 (or 519501 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 72728180 is about 8528.0818476373. The cubic root of 72728180 is about 417.4145402190.

The spelling of 72728180 in words is "seventy-two million, seven hundred twenty-eight thousand, one hundred eighty".