45372528 has 80 divisors (see below), whose sum is σ = 131420160. Its totient is φ = 14986944.

The previous prime is 45372521. The next prime is 45372539. The reversal of 45372528 is 82527354.

It is a super-2 number, since 2×45372528² = 4117332594221568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 45372492 and 45372501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45372521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54451 + ... + 55277.

It is an arithmetic number, because the mean of its divisors is an integer number (1642752).

Almost surely, 2^45372528 is an apocalyptic number.

45372528 is a gapful number since it is divisible by the number (48) 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 45372528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65710080).

45372528 is an abundant number, since it is smaller than the sum of its proper divisors (86047632).

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

45372528 is a wasteful number, since it uses less digits than its factorization.

45372528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 959 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 45372528 is about 6735.9133011048. The cubic root of 45372528 is about 356.6681472362.

The spelling of 45372528 in words is "forty-five million, three hundred seventy-two thousand, five hundred twenty-eight".