72361872325 has 24 divisors (see below), whose sum is σ = 96308387208. Its totient is φ = 53737850880.

The previous prime is 72361872311. The next prime is 72361872329. The reversal of 72361872325 is 52327816327.

It can be written as a sum of positive squares in 12 ways, for example, as 6151892356 + 66209979969 = 78434^2 + 257313^2 .

It is not a de Polignac number, because 72361872325 - 2³¹ = 70214388677 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72361872329) 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, 1135162 + ... + 1197211.

It is an arithmetic number, because the mean of its divisors is an integer number (4012849467).

Almost surely, 2^72361872325 is an apocalyptic number.

It is an amenable number.

72361872325 is a deficient number, since it is larger than the sum of its proper divisors (23946514883).

72361872325 is a wasteful number, since it uses less digits than its factorization.

72361872325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332473 (or 2332468 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The spelling of 72361872325 in words is "seventy-two billion, three hundred sixty-one million, eight hundred seventy-two thousand, three hundred twenty-five".