45372288 has 128 divisors (see below), whose sum is σ = 132804000. Its totient is φ = 13639680.

The previous prime is 45372259. The next prime is 45372311. The reversal of 45372288 is 88227354.

It is a tau number, because it is divible by the number of its divisors (128).

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

Its product of digits (107520) is a multiple of the sum of its prime factors (240).

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, 304438 + ... + 304586.

Almost surely, 2^45372288 is an apocalyptic number.

45372288 is a gapful number since it is divisible by the number (48) 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 45372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66402000).

45372288 is an abundant number, since it is smaller than the sum of its proper divisors (87431712).

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

45372288 is a wasteful number, since it uses less digits than its factorization.

45372288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 45372288 is about 6735.8954861251. The cubic root of 45372288 is about 356.6675183644.

The spelling of 45372288 in words is "forty-five million, three hundred seventy-two thousand, two hundred eighty-eight".