45072756 has 18 divisors (see below), whose sum is σ = 113934002. Its totient is φ = 15024240.

The previous prime is 45072751. The next prime is 45072761. The reversal of 45072756 is 65727054.

It is an interprime number because it is at equal distance from previous prime (45072751) and next prime (45072761).

It can be written as a sum of positive squares in only one way, i.e., 44675856 + 396900 = 6684^2 + 630^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1252021 = 45072756 / (4 + 5 + 0 + 7 + 2 + 7 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 45072756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45072751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 625975 + ... + 626046.

Almost surely, 2^45072756 is an apocalyptic number.

It is an amenable number.

45072756 is an abundant number, since it is smaller than the sum of its proper divisors (68861246).

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

45072756 is a wasteful number, since it uses less digits than its factorization.

45072756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252031 (or 1252026 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 45072756 is about 6713.6246543875. The cubic root of 45072756 is about 355.8809200685.

The spelling of 45072756 in words is "forty-five million, seventy-two thousand, seven hundred fifty-six".