45972136 has 32 divisors (see below), whose sum is σ = 98743680. Its totient is φ = 19656000.

The previous prime is 45972133. The next prime is 45972139. The reversal of 45972136 is 63127954.

It is an interprime number because it is at equal distance from previous prime (45972133) and next prime (45972139).

It is a super-2 number, since 2×45972136² = 4226874576804992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45972095 and 45972104.

It is not an unprimeable number, because it can be changed into a prime (45972133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34686 + ... + 35986.

It is an arithmetic number, because the mean of its divisors is an integer number (3085740).

Almost surely, 2^45972136 is an apocalyptic number.

It is an amenable number.

45972136 is an abundant number, since it is smaller than the sum of its proper divisors (52771544).

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

45972136 is a wasteful number, since it uses less digits than its factorization.

45972136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1941 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 45972136 is about 6780.2755106264. The cubic root of 45972136 is about 358.2324260789.

The spelling of 45972136 in words is "forty-five million, nine hundred seventy-two thousand, one hundred thirty-six".