72715065125 has 32 divisors (see below), whose sum is σ = 91084497504. Its totient is φ = 57957120000.

The previous prime is 72715065121. The next prime is 72715065139. The reversal of 72715065125 is 52156051727.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 36594542209 + 36120522916 = 191297^2 + 190054^2 .

It is not a de Polignac number, because 72715065125 - 2² = 72715065121 is a prime.

It is a super-2 number, since 2×72715065125² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72715065121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70391609 + ... + 70392641.

It is an arithmetic number, because the mean of its divisors is an integer number (2846390547).

Almost surely, 2^72715065125 is an apocalyptic number.

It is an amenable number.

72715065125 is a deficient number, since it is larger than the sum of its proper divisors (18369432379).

72715065125 is a wasteful number, since it uses less digits than its factorization.

72715065125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 41.

The spelling of 72715065125 in words is "seventy-two billion, seven hundred fifteen million, sixty-five thousand, one hundred twenty-five".