45372096 has 336 divisors, whose sum is σ = 172963840. Its totient is φ = 11404800.

The previous prime is 45372073. The next prime is 45372113. The reversal of 45372096 is 69027354.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45372096.

It is a congruent number.

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, 1463601 + ... + 1463631.

Almost surely, 2^45372096 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 45372096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86481920).

45372096 is an abundant number, since it is smaller than the sum of its proper divisors (127591744).

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

45372096 is a wasteful number, since it uses less digits than its factorization.

45372096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 45372096 is about 6735.8812341074. The cubic root of 45372096 is about 356.6670152654.

The spelling of 45372096 in words is "forty-five million, three hundred seventy-two thousand, ninety-six".