72985233 has 32 divisors (see below), whose sum is σ = 110094336. Its totient is φ = 42755328.

The previous prime is 72985217. The next prime is 72985247. The reversal of 72985233 is 33258927.

It is not a de Polignac number, because 72985233 - 2⁴ = 72985217 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 72985191 and 72985200.

It is not an unprimeable number, because it can be changed into a prime (72985273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49716 + ... + 51162.

It is an arithmetic number, because the mean of its divisors is an integer number (3440448).

Almost surely, 2^72985233 is an apocalyptic number.

It is an amenable number.

72985233 is a deficient number, since it is larger than the sum of its proper divisors (37109103).

72985233 is a wasteful number, since it uses less digits than its factorization.

72985233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533.

The product of its digits is 90720, while the sum is 39.

The square root of 72985233 is about 8543.1395282999. The cubic root of 72985233 is about 417.9057367779.

The spelling of 72985233 in words is "seventy-two million, nine hundred eighty-five thousand, two hundred thirty-three".