45701712 has 240 divisors, whose sum is σ = 162846720. Its totient is φ = 12192768.

The previous prime is 45701701. The next prime is 45701753. The reversal of 45701712 is 21710754.

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 47 ways as a sum of consecutive naturals, for example, 359793 + ... + 359919.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 2^45701712 is an apocalyptic number.

45701712 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 45701712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

45701712 is an abundant number, since it is smaller than the sum of its proper divisors (117145008).

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

45701712 is a wasteful number, since it uses less digits than its factorization.

45701712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 45701712 is about 6760.3041351703. The cubic root of 45701712 is about 357.5286286103.

The spelling of 45701712 in words is "forty-five million, seven hundred one thousand, seven hundred twelve".