72555 has 16 divisors (see below), whose sum is σ = 132864. Its totient is φ = 33120.

The previous prime is 72551. The next prime is 72559. The reversal of 72555 is 55527.

It is an interprime number because it is at equal distance from previous prime (72551) and next prime (72559).

It is not a de Polignac number, because 72555 - 2² = 72551 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72555.

It is not an unprimeable number, because it can be changed into a prime (72551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (8304).

2⁷²⁵⁵⁵ is an apocalyptic number.

72555 is a deficient number, since it is larger than the sum of its proper divisors (60309).

72555 is a wasteful number, since it uses less digits than its factorization.

72555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706.

The product of its digits is 1750, while the sum is 24.

The square root of 72555 is about 269.3603534301. The cubic root of 72555 is about 41.7082961715.

Adding to 72555 its product of digits (1750), we get a triangular number (74305 = T₃₈₅).

It can be divided in two parts, 7255 and 5, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 72555 in words is "seventy-two thousand, five hundred fifty-five".