72097991225 has 12 divisors (see below), whose sum is σ = 96278548716. Its totient is φ = 53241593280.

The previous prime is 72097991213. The next prime is 72097991237. The reversal of 72097991225 is 52219979027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72097991213) and next prime (72097991237).

It can be written as a sum of positive squares in 6 ways, for example, as 57820816 + 72040170409 = 7604^2 + 268403^2 .

It is not a de Polignac number, because 72097991225 - 2¹⁶ = 72097925689 is a prime.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110919662 + ... + 110920311.

It is an arithmetic number, because the mean of its divisors is an integer number (8023212393).

Almost surely, 2^72097991225 is an apocalyptic number.

It is an amenable number.

72097991225 is a deficient number, since it is larger than the sum of its proper divisors (24180557491).

72097991225 is a wasteful number, since it uses less digits than its factorization.

72097991225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221839996 (or 221839991 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 53.

The spelling of 72097991225 in words is "seventy-two billion, ninety-seven million, nine hundred ninety-one thousand, two hundred twenty-five".