72961271325 has 72 divisors (see below), whose sum is σ = 134785587456. Its totient is φ = 37707120000.

The previous prime is 72961271321. The next prime is 72961271359. The reversal of 72961271325 is 52317216927.

It is a happy number.

72961271325 is a `hidden beast` number, since 7 + 2 + 9 + 612 + 7 + 1 + 3 + 25 = 666.

It is not a de Polignac number, because 72961271325 - 2² = 72961271321 is a prime.

It is a super-2 number, since 2×72961271325² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72961271321) 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 71 ways as a sum of consecutive naturals, for example, 1033920 + ... + 1102230.

It is an arithmetic number, because the mean of its divisors is an integer number (1872022048).

Almost surely, 2^72961271325 is an apocalyptic number.

72961271325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72961271325 is a deficient number, since it is larger than the sum of its proper divisors (61824316131).

72961271325 is a wasteful number, since it uses less digits than its factorization.

72961271325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68475 (or 68467 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 72961271325 in words is "seventy-two billion, nine hundred sixty-one million, two hundred seventy-one thousand, three hundred twenty-five".