72551106 has 32 divisors (see below), whose sum is σ = 161529600. Its totient is φ = 24138000.

The previous prime is 72551081. The next prime is 72551147. The reversal of 72551106 is 60115527.

72551106 is a `hidden beast` number, since 7 + 2 + 551 + 106 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72551106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39660 + ... + 41448.

It is an arithmetic number, because the mean of its divisors is an integer number (5047800).

Almost surely, 2^72551106 is an apocalyptic number.

72551106 is an abundant number, since it is smaller than the sum of its proper divisors (88978494).

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

72551106 is a wasteful number, since it uses less digits than its factorization.

72551106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 72551106 is about 8517.6937019360. The cubic root of 72551106 is about 417.0755000193.

The spelling of 72551106 in words is "seventy-two million, five hundred fifty-one thousand, one hundred six".