72905 has 8 divisors (see below), whose sum is σ = 100032. Its totient is φ = 49968.

The previous prime is 72901. The next prime is 72907. The reversal of 72905 is 50927.

72905 = T₉₁ + T₉₂ + ... + T₁₀₅.

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 72905 - 2² = 72901 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72901) 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, 1007 + ... + 1076.

It is an arithmetic number, because the mean of its divisors is an integer number (12504).

2⁷²⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

72905 is a deficient number, since it is larger than the sum of its proper divisors (27127).

72905 is a wasteful number, since it uses less digits than its factorization.

72905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095.

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

The square root of 72905 is about 270.0092591005. The cubic root of 72905 is about 41.7752545401.

The spelling of 72905 in words is "seventy-two thousand, nine hundred five".