72149474925 has 96 divisors (see below), whose sum is σ = 144940187520. Its totient is φ = 34896960000.

The previous prime is 72149474921. The next prime is 72149474951. The reversal of 72149474925 is 52947494127.

72149474925 is a `hidden beast` number, since 7 + 2 + 149 + 4 + 7 + 492 + 5 = 666.

It is not a de Polignac number, because 72149474925 - 2² = 72149474921 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72149474921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3114385 + ... + 3137465.

It is an arithmetic number, because the mean of its divisors is an integer number (1509793620).

Almost surely, 2^72149474925 is an apocalyptic number.

72149474925 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72149474925 is an abundant number, since it is smaller than the sum of its proper divisors (72790712595).

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

72149474925 is a wasteful number, since it uses less digits than its factorization.

72149474925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23532 (or 23521 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 72149474925 in words is "seventy-two billion, one hundred forty-nine million, four hundred seventy-four thousand, nine hundred twenty-five".