72075 has 18 divisors (see below), whose sum is σ = 123132. Its totient is φ = 37200.

The previous prime is 72073. The next prime is 72077. The reversal of 72075 is 57027.

It is an interprime number because it is at equal distance from previous prime (72073) and next prime (72077).

It is not a de Polignac number, because 72075 - 2¹ = 72073 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

72075 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (72073) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2310 + ... + 2340.

2⁷²⁰⁷⁵ is an apocalyptic number.

72075 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72075 is a deficient number, since it is larger than the sum of its proper divisors (51057).

72075 is a wasteful number, since it uses less digits than its factorization.

72075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 72075 is about 268.4678751732. The cubic root of 72075 is about 41.6161164749.

The spelling of 72075 in words is "seventy-two thousand, seventy-five".