45968672 has 24 divisors (see below), whose sum is σ = 90720000. Its totient is φ = 22928704.

The previous prime is 45968669. The next prime is 45968693. The reversal of 45968672 is 27686954.

45968672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45968672² = 4226237610887168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13829 + ... + 16827.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^45968672 is an apocalyptic number.

It is an amenable number.

45968672 is a deficient number, since it is larger than the sum of its proper divisors (44751328).

45968672 is a wasteful number, since it uses less digits than its factorization.

45968672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3480 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 45968672 is about 6780.0200589674. The cubic root of 45968672 is about 358.2234282497.

The spelling of 45968672 in words is "forty-five million, nine hundred sixty-eight thousand, six hundred seventy-two".