72910833 has 16 divisors (see below), whose sum is σ = 99851136. Its totient is φ = 47295360.

The previous prime is 72910829. The next prime is 72910861. The reversal of 72910833 is 33801927.

It is not a de Polignac number, because 72910833 - 2² = 72910829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72910794 and 72910803.

It is not an unprimeable number, because it can be changed into a prime (72910333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74916 + ... + 75882.

It is an arithmetic number, because the mean of its divisors is an integer number (6240696).

Almost surely, 2^72910833 is an apocalyptic number.

It is an amenable number.

72910833 is a deficient number, since it is larger than the sum of its proper divisors (26940303).

72910833 is a wasteful number, since it uses less digits than its factorization.

72910833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 72910833 is about 8538.7840469238. The cubic root of 72910833 is about 417.7636863179.

The spelling of 72910833 in words is "seventy-two million, nine hundred ten thousand, eight hundred thirty-three".