72106980 has 48 divisors (see below), whose sum is σ = 220256064. Its totient is φ = 17480320.

The previous prime is 72106913. The next prime is 72107003. The reversal of 72106980 is 8960127.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53967 + ... + 55286.

It is an arithmetic number, because the mean of its divisors is an integer number (4588668).

Almost surely, 2^72106980 is an apocalyptic number.

It is an amenable number.

72106980 is an abundant number, since it is smaller than the sum of its proper divisors (148149084).

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

72106980 is a wasteful number, since it uses less digits than its factorization.

72106980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109276 (or 109274 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 72106980 is about 8491.5828913107. The cubic root of 72106980 is about 416.2227065043. Note that the first 3 decimals are identical.

The spelling of 72106980 in words is "seventy-two million, one hundred six thousand, nine hundred eighty".