72575648 has 24 divisors (see below), whose sum is σ = 146747412. Its totient is φ = 35306496.

The previous prime is 72575627. The next prime is 72575663. The reversal of 72575648 is 84657527.

It can be written as a sum of positive squares in 2 ways, for example, as 71707024 + 868624 = 8468^2 + 932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72575599 and 72575608.

It is an unprimeable number.

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, 29465 + ... + 31832.

Almost surely, 2^72575648 is an apocalyptic number.

It is an amenable number.

72575648 is an abundant number, since it is smaller than the sum of its proper divisors (74171764).

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

72575648 is a wasteful number, since it uses less digits than its factorization.

72575648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61344 (or 61336 counting only the distinct ones).

The product of its digits is 470400, while the sum is 44.

The square root of 72575648 is about 8519.1342283122. The cubic root of 72575648 is about 417.1225230239.

The spelling of 72575648 in words is "seventy-two million, five hundred seventy-five thousand, six hundred forty-eight".