72801265 has 12 divisors (see below), whose sum is σ = 88519284. Its totient is φ = 57479136.

The previous prime is 72801257. The next prime is 72801301. The reversal of 72801265 is 56210827.

It can be written as a sum of positive squares in 2 ways, for example, as 25563136 + 47238129 = 5056^2 + 6873^2 .

It is not a de Polignac number, because 72801265 - 2³ = 72801257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30039 + ... + 32371.

It is an arithmetic number, because the mean of its divisors is an integer number (7376607).

Almost surely, 2^72801265 is an apocalyptic number.

It is an amenable number.

72801265 is a deficient number, since it is larger than the sum of its proper divisors (15718019).

72801265 is an equidigital number, since it uses as much as digits as its factorization.

72801265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 72801265 is about 8532.3657329020. The cubic root of 72801265 is about 417.5543142313.

The spelling of 72801265 in words is "seventy-two million, eight hundred one thousand, two hundred sixty-five".