45684072 has 144 divisors (see below), whose sum is σ = 150452640. Its totient is φ = 12462912.

The previous prime is 45684071. The next prime is 45684091. The reversal of 45684072 is 27048654.

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

It is not an unprimeable number, because it can be changed into a prime (45684071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80863 + ... + 81425.

It is an arithmetic number, because the mean of its divisors is an integer number (1044810).

Almost surely, 2^45684072 is an apocalyptic number.

45684072 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 45684072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75226320).

45684072 is an abundant number, since it is smaller than the sum of its proper divisors (104768568).

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

45684072 is a wasteful number, since it uses less digits than its factorization.

45684072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45684072 is about 6758.9993342210. Note that the first 3 decimals coincide. The cubic root of 45684072 is about 357.4826229185.

The spelling of 45684072 in words is "forty-five million, six hundred eighty-four thousand, seventy-two".