72495 has 20 divisors (see below), whose sum is σ = 130680. Its totient is φ = 38448.

The previous prime is 72493. The next prime is 72497. The reversal of 72495 is 59427.

72495 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (72493) and next prime (72497).

It is not a de Polignac number, because 72495 - 2¹ = 72493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

72495 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72493) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 316 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (6534).

2⁷²⁴⁹⁵ is an apocalyptic number.

72495 is the 135-th decagonal number.

72495 is a deficient number, since it is larger than the sum of its proper divisors (58185).

72495 is a wasteful number, since it uses less digits than its factorization.

72495 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 72495 is about 269.2489554297. The cubic root of 72495 is about 41.6967959859.

The spelling of 72495 in words is "seventy-two thousand, four hundred ninety-five".