72757275 has 48 divisors (see below), whose sum is σ = 124096224. Its totient is φ = 37601280.

The previous prime is 72757273. The next prime is 72757277. The reversal of 72757275 is 57275727.

It is an interprime number because it is at equal distance from previous prime (72757273) and next prime (72757277).

It is not a de Polignac number, because 72757275 - 2¹ = 72757273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72757273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531007 + ... + 531143.

It is an arithmetic number, because the mean of its divisors is an integer number (2585338).

Almost surely, 2^72757275 is an apocalyptic number.

72757275 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72757275 is a deficient number, since it is larger than the sum of its proper divisors (51338949).

72757275 is a wasteful number, since it uses less digits than its factorization.

72757275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its digits is 240100, while the sum is 42.

The square root of 72757275 is about 8529.7875120076. The cubic root of 72757275 is about 417.4701952022.

The spelling of 72757275 in words is "seventy-two million, seven hundred fifty-seven thousand, two hundred seventy-five".