45525744 has 120 divisors (see below), whose sum is σ = 142584624. Its totient is φ = 13440000.

The previous prime is 45525731. The next prime is 45525791. The reversal of 45525744 is 44752554.

It is a happy number.

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 = 45525699 and 45525708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64594 + ... + 65294.

Almost surely, 2^45525744 is an apocalyptic number.

45525744 is a gapful number since it is divisible by the number (44) 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 45525744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71292312).

45525744 is an abundant number, since it is smaller than the sum of its proper divisors (97058880).

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

45525744 is a wasteful number, since it uses less digits than its factorization.

45525744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 758 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 45525744 is about 6747.2767840070. The cubic root of 45525744 is about 357.0691672117.

It can be divided in two parts, 4552 and 5744, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 45525744 in words is "forty-five million, five hundred twenty-five thousand, seven hundred forty-four".