72906 has 16 divisors (see below), whose sum is σ = 151200. Its totient is φ = 23408.

The previous prime is 72901. The next prime is 72907. The reversal of 72906 is 60927.

It is an Ulam 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, 36 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2⁷²⁹⁰⁶ is an apocalyptic number.

72906 is an abundant number, since it is smaller than the sum of its proper divisors (78294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

72906 is a wasteful number, since it uses less digits than its factorization.

72906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 72906 is about 270.0111108825. The cubic root of 72906 is about 41.7754455424.

The spelling of 72906 in words is "seventy-two thousand, nine hundred six".