45642672 has 60 divisors (see below), whose sum is σ = 133299504. Its totient is φ = 14551680.

The previous prime is 45642659. The next prime is 45642679. The reversal of 45642672 is 27624654.

45642672 is a `hidden beast` number, since 4 + 5 + 642 + 6 + 7 + 2 = 666.

45642672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45642679) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3579 + ... + 10202.

Almost surely, 2^45642672 is an apocalyptic number.

It is an amenable number.

45642672 is an abundant number, since it is smaller than the sum of its proper divisors (87656832).

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

45642672 is a wasteful number, since it uses less digits than its factorization.

45642672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13818 (or 13809 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 45642672 is about 6755.9360565358. The cubic root of 45642672 is about 357.3746038444.

The spelling of 45642672 in words is "forty-five million, six hundred forty-two thousand, six hundred seventy-two".