45075312 has 80 divisors (see below), whose sum is σ = 130428160. Its totient is φ = 14904000.

The previous prime is 45075301. The next prime is 45075341. The reversal of 45075312 is 21357054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 64887 + ... + 65577.

It is an arithmetic number, because the mean of its divisors is an integer number (1630352).

Almost surely, 2^45075312 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 45075312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65214080).

45075312 is an abundant number, since it is smaller than the sum of its proper divisors (85352848).

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

45075312 is a wasteful number, since it uses less digits than its factorization.

45075312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 45075312 is about 6713.8150108563. The cubic root of 45075312 is about 355.8876470770.

The spelling of 45075312 in words is "forty-five million, seventy-five thousand, three hundred twelve".