72759 has 8 divisors (see below), whose sum is σ = 98560. Its totient is φ = 47736.

The previous prime is 72739. The next prime is 72763. The reversal of 72759 is 95727.

It is a happy number.

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

It is not a de Polignac number, because 72759 - 2⁵ = 72727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72759.

It is not an unprimeable number, because it can be changed into a prime (72719) 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, 84 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (12320).

2⁷²⁷⁵⁹ is an apocalyptic number.

72759 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

72759 is a deficient number, since it is larger than the sum of its proper divisors (25801).

72759 is a wasteful number, since it uses less digits than its factorization.

72759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389.

The product of its digits is 4410, while the sum is 30.

The square root of 72759 is about 269.7387625092. The cubic root of 72759 is about 41.7473494439.

The spelling of 72759 in words is "seventy-two thousand, seven hundred fifty-nine".