45537072 has 120 divisors (see below), whose sum is σ = 144187200. Its totient is φ = 12313728.

The previous prime is 45537071. The next prime is 45537073. The reversal of 45537072 is 27073554.

It is an interprime number because it is at equal distance from previous prime (45537071) and next prime (45537073).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45537071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44179 + ... + 45197.

It is an arithmetic number, because the mean of its divisors is an integer number (1201560).

Almost surely, 2^45537072 is an apocalyptic number.

45537072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45537072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72093600).

45537072 is an abundant number, since it is smaller than the sum of its proper divisors (98650128).

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

45537072 is a wasteful number, since it uses less digits than its factorization.

45537072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 45537072 is about 6748.1161815725. The cubic root of 45537072 is about 357.0987808158.

The spelling of 45537072 in words is "forty-five million, five hundred thirty-seven thousand, seventy-two".