72879180 has 96 divisors (see below), whose sum is σ = 232339968. Its totient is φ = 16896000.

The previous prime is 72879179. The next prime is 72879211. The reversal of 72879180 is 8197827.

It is a super-2 number, since 2×72879180² = 10622749754944800, which contains 22 as substring.

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, 12780 + ... + 17580.

It is an arithmetic number, because the mean of its divisors is an integer number (2420208).

Almost surely, 2^72879180 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 72879180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116169984).

72879180 is an abundant number, since it is smaller than the sum of its proper divisors (159460788).

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

72879180 is a wasteful number, since it uses less digits than its factorization.

72879180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 72879180 is about 8536.9303616698. The cubic root of 72879180 is about 417.7032225639.

The spelling of 72879180 in words is "seventy-two million, eight hundred seventy-nine thousand, one hundred eighty".