72889252 has 12 divisors (see below), whose sum is σ = 127696716. Its totient is φ = 36404480.

The previous prime is 72889247. The next prime is 72889253. The reversal of 72889252 is 25298827.

It can be written as a sum of positive squares in 2 ways, for example, as 48525156 + 24364096 = 6966^2 + 4936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72889199 and 72889208.

It is not an unprimeable number, because it can be changed into a prime (72889253) 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 3 ways as a sum of consecutive naturals, for example, 5749 + ... + 13372.

It is an arithmetic number, because the mean of its divisors is an integer number (10641393).

Almost surely, 2^72889252 is an apocalyptic number.

It is an amenable number.

72889252 is a deficient number, since it is larger than the sum of its proper divisors (54807464).

72889252 is a wasteful number, since it uses less digits than its factorization.

72889252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20078 (or 20076 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 72889252 is about 8537.5202488779. The cubic root of 72889252 is about 417.7224640586.

The spelling of 72889252 in words is "seventy-two million, eight hundred eighty-nine thousand, two hundred fifty-two".