72271825 has 18 divisors (see below), whose sum is σ = 91303494. Its totient is φ = 56738880.

The previous prime is 72271813. The next prime is 72271831. The reversal of 72271825 is 52817227.

It can be written as a sum of positive squares in 3 ways, for example, as 5702544 + 66569281 = 2388^2 + 8159^2 .

It is not a de Polignac number, because 72271825 - 2⁷ = 72271697 is a prime.

It is a hoax number, since the sum of its digits (34) 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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 363076 + ... + 363274.

Almost surely, 2^72271825 is an apocalyptic number.

It is an amenable number.

72271825 is a deficient number, since it is larger than the sum of its proper divisors (19031669).

72271825 is an equidigital number, since it uses as much as digits as its factorization.

72271825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 277 counting only the distinct ones).

The product of its digits is 15680, while the sum is 34.

The square root of 72271825 is about 8501.2837265909. The cubic root of 72271825 is about 416.5396430577.

The spelling of 72271825 in words is "seventy-two million, two hundred seventy-one thousand, eight hundred twenty-five".