45702720 has 168 divisors, whose sum is σ = 179734464. Its totient is φ = 10441728.

The previous prime is 45702703. The next prime is 45702721. The reversal of 45702720 is 2720754.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (45702721) 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, 19027 + ... + 21293.

It is an arithmetic number, because the mean of its divisors is an integer number (1069848).

Almost surely, 2^45702720 is an apocalyptic number.

45702720 is a gapful number since it is divisible by the number (40) 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 45702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89867232).

45702720 is an abundant number, since it is smaller than the sum of its proper divisors (134031744).

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

45702720 is a wasteful number, since it uses less digits than its factorization.

45702720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 45702720 is about 6760.3786876180. The cubic root of 45702720 is about 357.5312571493.

The spelling of 45702720 in words is "forty-five million, seven hundred two thousand, seven hundred twenty".