72256381146 has 12 divisors (see below), whose sum is σ = 156555492522. Its totient is φ = 24085460376.

The previous prime is 72256381079. The next prime is 72256381159. The reversal of 72256381146 is 64118365227.

72256381146 is a `hidden beast` number, since 7 + 2 + 2 + 5 + 638 + 1 + 1 + 4 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65388115521 + 6868265625 = 255711^2 + 82875^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2007121681 + ... + 2007121716.

Almost surely, 2^72256381146 is an apocalyptic number.

72256381146 is an abundant number, since it is smaller than the sum of its proper divisors (84299111376).

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

72256381146 is a wasteful number, since it uses less digits than its factorization.

72256381146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014243405 (or 4014243402 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 72256381146 in words is "seventy-two billion, two hundred fifty-six million, three hundred eighty-one thousand, one hundred forty-six".