72671387725 has 24 divisors (see below), whose sum is σ = 92119530312. Its totient is φ = 56853292800.

The previous prime is 72671387669. The next prime is 72671387729. The reversal of 72671387725 is 52778317627.

It can be written as a sum of positive squares in 12 ways, for example, as 35463292489 + 37208095236 = 188317^2 + 192894^2 .

It is not a de Polignac number, because 72671387725 - 2⁷ = 72671387597 is a prime.

It is a super-2 number, since 2×72671387725² (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 (72671387729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126099 + ... + 401551.

It is an arithmetic number, because the mean of its divisors is an integer number (3838313763).

Almost surely, 2^72671387725 is an apocalyptic number.

It is an amenable number.

72671387725 is a deficient number, since it is larger than the sum of its proper divisors (19448142587).

72671387725 is a wasteful number, since it uses less digits than its factorization.

72671387725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275697 (or 275692 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 55.

The spelling of 72671387725 in words is "seventy-two billion, six hundred seventy-one million, three hundred eighty-seven thousand, seven hundred twenty-five".