45553872 has 80 divisors (see below), whose sum is σ = 144851840. Its totient is φ = 12013056.

The previous prime is 45553861. The next prime is 45553939. The reversal of 45553872 is 27835554.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 45553872.

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, 847 + ... + 9582.

It is an arithmetic number, because the mean of its divisors is an integer number (1810648).

Almost surely, 2^45553872 is an apocalyptic number.

45553872 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 45553872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72425920).

45553872 is an abundant number, since it is smaller than the sum of its proper divisors (99297968).

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

45553872 is a wasteful number, since it uses less digits than its factorization.

45553872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10460 (or 10454 counting only the distinct ones).

The product of its digits is 168000, while the sum is 39.

The square root of 45553872 is about 6749.3608586295. The cubic root of 45553872 is about 357.1426902552.

The spelling of 45553872 in words is "forty-five million, five hundred fifty-three thousand, eight hundred seventy-two".