72607248 has 60 divisors (see below), whose sum is σ = 232231168. Its totient is φ = 20744640.

The previous prime is 72607243. The next prime is 72607259. The reversal of 72607248 is 84270627.

72607248 is a `hidden beast` number, since 7 + 2 + 607 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72607243) 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 11 ways as a sum of consecutive naturals, for example, 35008 + ... + 37023.

Almost surely, 2^72607248 is an apocalyptic number.

It is an amenable number.

72607248 is an abundant number, since it is smaller than the sum of its proper divisors (159623920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72607248 is a wasteful number, since it uses less digits than its factorization.

72607248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72052 (or 72043 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72607248 is about 8520.9886750306. The cubic root of 72607248 is about 417.1830537000.

The spelling of 72607248 in words is "seventy-two million, six hundred seven thousand, two hundred forty-eight".