72059 has 8 divisors (see below), whose sum is σ = 81312. Its totient is φ = 63360.

The previous prime is 72053. The next prime is 72073. The reversal of 72059 is 95027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72059 - 2⁴ = 72043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72059.

It is not an unprimeable number, because it can be changed into a prime (72053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (10164).

2⁷²⁰⁵⁹ is an apocalyptic number.

72059 is a deficient number, since it is larger than the sum of its proper divisors (9253).

72059 is a wasteful number, since it uses less digits than its factorization.

72059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 72059 is about 268.4380747957. The cubic root of 72059 is about 41.6130367794.

The spelling of 72059 in words is "seventy-two thousand, fifty-nine".