45903672 has 112 divisors (see below), whose sum is σ = 136931040. Its totient is φ = 14370048.

The previous prime is 45903667. The next prime is 45903679. The reversal of 45903672 is 27630954.

45903672 is a `hidden beast` number, since 4 + 590 + 3 + 67 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45903679) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 98913 + ... + 99375.

Almost surely, 2^45903672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45903672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68465520).

45903672 is an abundant number, since it is smaller than the sum of its proper divisors (91027368).

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

45903672 is a wasteful number, since it uses less digits than its factorization.

45903672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 45903672 is about 6775.2248671170. The cubic root of 45903672 is about 358.0545051891.

The spelling of 45903672 in words is "forty-five million, nine hundred three thousand, six hundred seventy-two".