72917949825 has 270 divisors, whose sum is σ = 158124981846. Its totient is φ = 32112702720.

The previous prime is 72917949773. The next prime is 72917949829. The reversal of 72917949825 is 52894971927.

72917949825 is a `hidden beast` number, since 72 + 9 + 1 + 79 + 498 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5753525904 + 67164423921 = 75852^2 + 259161^2 .

It is not a de Polignac number, because 72917949825 - 2⁸ = 72917949569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (72917949829) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 998875989 + ... + 998876061.

Almost surely, 2^72917949825 is an apocalyptic number.

72917949825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72917949825 is an abundant number, since it is smaller than the sum of its proper divisors (85207032021).

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

72917949825 is an equidigital number, since it uses as much as digits as its factorization.

72917949825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 131 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 72917949825 in words is "seventy-two billion, nine hundred seventeen million, nine hundred forty-nine thousand, eight hundred twenty-five".