72525721636 has 45 divisors (see below), whose sum is σ = 134331205281. Its totient is φ = 34262186544.

The previous prime is 72525721633. The next prime is 72525721649. The reversal of 72525721636 is 63612752527.

The square root of 72525721636 is 269306.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39422102500 + 33103619136 = 198550^2 + 181944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72525721633) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 194438746 + ... + 194439118.

Almost surely, 2^72525721636 is an apocalyptic number.

72525721636 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

72525721636 is the 269306-th square number.

It is an amenable number.

72525721636 is a deficient number, since it is larger than the sum of its proper divisors (61805483645).

72525721636 is an frugal number, since it uses more digits than its factorization.

72525721636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 394 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 46.

The spelling of 72525721636 in words is "seventy-two billion, five hundred twenty-five million, seven hundred twenty-one thousand, six hundred thirty-six".