72748575 has 36 divisors (see below), whose sum is σ = 130804128. Its totient is φ = 38649600.

The previous prime is 72748573. The next prime is 72748589. The reversal of 72748575 is 57584727.

72748575 is a `hidden beast` number, since 7 + 2 + 74 + 8 + 575 = 666.

It is not a de Polignac number, because 72748575 - 2¹ = 72748573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72748575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72748573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82135 + ... + 83015.

It is an arithmetic number, because the mean of its divisors is an integer number (3633448).

Almost surely, 2^72748575 is an apocalyptic number.

72748575 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72748575 is a deficient number, since it is larger than the sum of its proper divisors (58055553).

72748575 is a wasteful number, since it uses less digits than its factorization.

72748575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1256 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 72748575 is about 8529.2775192275. The cubic root of 72748575 is about 417.4535547793.

The spelling of 72748575 in words is "seventy-two million, seven hundred forty-eight thousand, five hundred seventy-five".