45837972 has 36 divisors (see below), whose sum is σ = 118337856. Its totient is φ = 14953680.

The previous prime is 45837971. The next prime is 45837973. The reversal of 45837972 is 27973854.

It is an interprime number because it is at equal distance from previous prime (45837971) and next prime (45837973).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×45837972² = 4202239354145568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45837971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11854 + ... + 15237.

Almost surely, 2^45837972 is an apocalyptic number.

It is an amenable number.

45837972 is an abundant number, since it is smaller than the sum of its proper divisors (72499884).

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

45837972 is a wasteful number, since it uses less digits than its factorization.

45837972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27148 (or 27143 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 45837972 is about 6770.3745834333. The cubic root of 45837972 is about 357.8836008297.

The spelling of 45837972 in words is "forty-five million, eight hundred thirty-seven thousand, nine hundred seventy-two".