72415233 has 36 divisors (see below), whose sum is σ = 118989780. Its totient is φ = 42356160.

The previous prime is 72415219. The next prime is 72415241. The reversal of 72415233 is 33251427.

It can be written as a sum of positive squares in 2 ways, for example, as 29289744 + 43125489 = 5412^2 + 6567^2 .

It is not a de Polignac number, because 72415233 - 2⁹ = 72414721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72415197 and 72415206.

It is not an unprimeable number, because it can be changed into a prime (72415433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30435 + ... + 32727.

Almost surely, 2^72415233 is an apocalyptic number.

It is an amenable number.

72415233 is a deficient number, since it is larger than the sum of its proper divisors (46574547).

72415233 is a wasteful number, since it uses less digits than its factorization.

72415233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2336 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 72415233 is about 8509.7140374986. The cubic root of 72415233 is about 416.8149723445.

The spelling of 72415233 in words is "seventy-two million, four hundred fifteen thousand, two hundred thirty-three".