72515745 has 48 divisors (see below), whose sum is σ = 130712400. Its totient is φ = 37158912.

The previous prime is 72515743. The next prime is 72515749. The reversal of 72515745 is 54751527.

72515745 is a `hidden beast` number, since 72 + 515 + 74 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2509056 + 70006689 = 1584^2 + 8367^2 .

It is not a de Polignac number, because 72515745 - 2¹ = 72515743 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72515741) 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, 161281 + ... + 161729.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^72515745 is an apocalyptic number.

It is an amenable number.

72515745 is a deficient number, since it is larger than the sum of its proper divisors (58196655).

72515745 is a wasteful number, since it uses less digits than its factorization.

72515745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 591 counting only the distinct ones).

The product of its digits is 49000, while the sum is 36.

The square root of 72515745 is about 8515.6177110061. The cubic root of 72515745 is about 417.0077289253.

It can be divided in two parts, 7251 and 5745, that added together give a square (12996 = 114²).

The spelling of 72515745 in words is "seventy-two million, five hundred fifteen thousand, seven hundred forty-five".