45537232 has 80 divisors (see below), whose sum is σ = 100205392. Its totient is φ = 19906560.

The previous prime is 45537223. The next prime is 45537241. The reversal of 45537232 is 23273554.

It is an interprime number because it is at equal distance from previous prime (45537223) and next prime (45537241).

It can be written as a sum of positive squares in 8 ways, for example, as 3857296 + 41679936 = 1964^2 + 6456^2 .

Its product of digits (25200) is a multiple of the sum of its prime divisors (210).

It is a junction number, because it is equal to n+sod(n) for n = 45537194 and 45537203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469408 + ... + 469504.

Almost surely, 2^45537232 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 45537232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50102696).

45537232 is an abundant number, since it is smaller than the sum of its proper divisors (54668160).

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

45537232 is a wasteful number, since it uses less digits than its factorization.

45537232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its digits is 25200, while the sum is 31.

The square root of 45537232 is about 6748.1280367225. The cubic root of 45537232 is about 357.0991990519.

The spelling of 45537232 in words is "forty-five million, five hundred thirty-seven thousand, two hundred thirty-two".