72673233 has 16 divisors (see below), whose sum is σ = 104171520. Its totient is φ = 44920656.

The previous prime is 72673213. The next prime is 72673241. The reversal of 72673233 is 33237627.

It is not a de Polignac number, because 72673233 - 2¹⁰ = 72672209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72673194 and 72673203.

It is not an unprimeable number, because it can be changed into a prime (72673213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10885 + ... + 16242.

It is an arithmetic number, because the mean of its divisors is an integer number (6510720).

Almost surely, 2^72673233 is an apocalyptic number.

It is an amenable number.

72673233 is a deficient number, since it is larger than the sum of its proper divisors (31498287).

72673233 is a wasteful number, since it uses less digits than its factorization.

72673233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27196.

The product of its digits is 31752, while the sum is 33.

The square root of 72673233 is about 8524.8597055905. The cubic root of 72673233 is about 417.3093931943.

The spelling of 72673233 in words is "seventy-two million, six hundred seventy-three thousand, two hundred thirty-three".