72885249 has 12 divisors (see below), whose sum is σ = 107847012. Its totient is φ = 47404800.

The previous prime is 72885223. The next prime is 72885251. The reversal of 72885249 is 94258827.

It can be written as a sum of positive squares in 2 ways, for example, as 5760000 + 67125249 = 2400^2 + 8193^2 .

It is not a de Polignac number, because 72885249 - 2⁸ = 72884993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72885259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98392 + ... + 99129.

It is an arithmetic number, because the mean of its divisors is an integer number (8987251).

Almost surely, 2^72885249 is an apocalyptic number.

It is an amenable number.

72885249 is a deficient number, since it is larger than the sum of its proper divisors (34961763).

72885249 is a wasteful number, since it uses less digits than its factorization.

72885249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197568 (or 197565 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 72885249 is about 8537.2858099047. The cubic root of 72885249 is about 417.7148169612.

The spelling of 72885249 in words is "seventy-two million, eight hundred eighty-five thousand, two hundred forty-nine".