72137448425 has 72 divisors (see below), whose sum is σ = 105717843000. Its totient is φ = 48678174720.

The previous prime is 72137448421. The next prime is 72137448451. The reversal of 72137448425 is 52484473127.

It can be written as a sum of positive squares in 12 ways, for example, as 7043069929 + 65094378496 = 83923^2 + 255136^2 .

It is not a de Polignac number, because 72137448425 - 2² = 72137448421 is a prime.

It is a super-2 number, since 2×72137448425² (a number of 23 digits) contains 22 as substring.

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 72137448425.

It is not an unprimeable number, because it can be changed into a prime (72137448421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68767301 + ... + 68768349.

It is an arithmetic number, because the mean of its divisors is an integer number (1468303375).

Almost surely, 2^72137448425 is an apocalyptic number.

It is an amenable number.

72137448425 is a deficient number, since it is larger than the sum of its proper divisors (33580394575).

72137448425 is a wasteful number, since it uses less digits than its factorization.

72137448425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1903 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 47.

The spelling of 72137448425 in words is "seventy-two billion, one hundred thirty-seven million, four hundred forty-eight thousand, four hundred twenty-five".