45072765 has 48 divisors (see below), whose sum is σ = 80960256. Its totient is φ = 23184000.

The previous prime is 45072761. The next prime is 45072773. The reversal of 45072765 is 56727054.

45072765 is a nontrivial binomial coefficient, being equal to C(9495, 2).

It is not a de Polignac number, because 45072765 - 2² = 45072761 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45072761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213510 + ... + 213720.

It is an arithmetic number, because the mean of its divisors is an integer number (1686672).

Almost surely, 2^45072765 is an apocalyptic number.

45072765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45072765 is the 9494-th triangular number.

It is an amenable number.

45072765 is a deficient number, since it is larger than the sum of its proper divisors (35887491).

45072765 is a wasteful number, since it uses less digits than its factorization.

45072765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 367 counting only the distinct ones).

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

The square root of 45072765 is about 6713.6253246662. The cubic root of 45072765 is about 355.8809437556.

The spelling of 45072765 in words is "forty-five million, seventy-two thousand, seven hundred sixty-five".