72955 has 4 divisors (see below), whose sum is σ = 87552. Its totient is φ = 58360.

The previous prime is 72953. The next prime is 72959. The reversal of 72955 is 55927.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 72955 - 2¹ = 72953 is a prime.

It is a Duffinian number.

72955 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (72953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7291 + ... + 7300.

It is an arithmetic number, because the mean of its divisors is an integer number (21888).

2⁷²⁹⁵⁵ is an apocalyptic number.

72955 is a deficient number, since it is larger than the sum of its proper divisors (14597).

72955 is a wasteful number, since it uses less digits than its factorization.

72955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14596.

The product of its digits is 3150, while the sum is 28.

The square root of 72955 is about 270.1018326484. The cubic root of 72955 is about 41.7848025153.

Subtracting from 72955 its sum of digits (28), we obtain a palindrome (72927).

It can be divided in two parts, 729 and 55, that added together give a square (784 = 28²).

The spelling of 72955 in words is "seventy-two thousand, nine hundred fifty-five".