72969 has 8 divisors (see below), whose sum is σ = 104832. Its totient is φ = 44880.

The previous prime is 72959. The next prime is 72973. The reversal of 72969 is 96927.

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

It is not a de Polignac number, because 72969 - 2⁴ = 72953 is a prime.

It is a super-2 number, since 2×72969² = 10648949922, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 897 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2⁷²⁹⁶⁹ is an apocalyptic number.

It is an amenable number.

72969 is a deficient number, since it is larger than the sum of its proper divisors (31863).

72969 is a wasteful number, since it uses less digits than its factorization.

72969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887.

The product of its digits is 6804, while the sum is 33.

The square root of 72969 is about 270.1277475566. The cubic root of 72969 is about 41.7874751666.

The spelling of 72969 in words is "seventy-two thousand, nine hundred sixty-nine".