45414072 has 96 divisors (see below), whose sum is σ = 142112880. Its totient is φ = 12948480.

The previous prime is 45414071. The next prime is 45414077. The reversal of 45414072 is 27041454.

45414072 is a `hidden beast` number, since 454 + 140 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45414071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11778 + ... + 15150.

Almost surely, 2^45414072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45414072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71056440).

45414072 is an abundant number, since it is smaller than the sum of its proper divisors (96698808).

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

45414072 is a wasteful number, since it uses less digits than its factorization.

45414072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 45414072 is about 6738.9963644448. The cubic root of 45414072 is about 356.7769715409.

The spelling of 45414072 in words is "forty-five million, four hundred fourteen thousand, seventy-two".