72057249 has 16 divisors (see below), whose sum is σ = 116456640. Its totient is φ = 43670880.

The previous prime is 72057221. The next prime is 72057269. The reversal of 72057249 is 94275027.

It is not a de Polignac number, because 72057249 - 2⁵ = 72057217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72057269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121012 + ... + 121605.

It is an arithmetic number, because the mean of its divisors is an integer number (7278540).

Almost surely, 2^72057249 is an apocalyptic number.

It is an amenable number.

72057249 is a deficient number, since it is larger than the sum of its proper divisors (44399391).

72057249 is a wasteful number, since it uses less digits than its factorization.

72057249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242637 (or 242631 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72057249 is about 8488.6541336068. The cubic root of 72057249 is about 416.1269971760.

The spelling of 72057249 in words is "seventy-two million, fifty-seven thousand, two hundred forty-nine".