45337572 has 144 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 11529216.

The previous prime is 45337559. The next prime is 45337597. The reversal of 45337572 is 27573354.

45337572 is a `hidden beast` number, since 4 + 53 + 37 + 572 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81118 + ... + 81674.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^45337572 is an apocalyptic number.

45337572 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 45337572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

45337572 is an abundant number, since it is smaller than the sum of its proper divisors (100903068).

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

45337572 is a wasteful number, since it uses less digits than its factorization.

45337572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 605 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 45337572 is about 6733.3180527879. The cubic root of 45337572 is about 356.5765286918.

It can be divided in two parts, 453 and 37572, that added together give a square (38025 = 195²).

The spelling of 45337572 in words is "forty-five million, three hundred thirty-seven thousand, five hundred seventy-two".