72347550625 has 135 divisors (see below), whose sum is σ = 111010840941. Its totient is φ = 46995312000.

The previous prime is 72347550577. The next prime is 72347550629. The reversal of 72347550625 is 52605574327.

The square root of 72347550625 is 268975.

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

It can be written as a sum of positive squares in 22 ways, for example, as 72279784801 + 67765824 = 268849^2 + 8232^2 .

It is not a de Polignac number, because 72347550625 - 2⁷ = 72347550497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72347550629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1365048099 + ... + 1365048151.

Almost surely, 2^72347550625 is an apocalyptic number.

72347550625 is the 268975-th square number.

72347550625 is the 134488-th centered octagonal number.

It is an amenable number.

72347550625 is a deficient number, since it is larger than the sum of its proper divisors (38663290316).

72347550625 is an frugal number, since it uses more digits than its factorization.

72347550625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 46.

The spelling of 72347550625 in words is "seventy-two billion, three hundred forty-seven million, five hundred fifty thousand, six hundred twenty-five".