72271233 has 36 divisors (see below), whose sum is σ = 113697324. Its totient is φ = 44083200.

The previous prime is 72271217. The next prime is 72271237. The reversal of 72271233 is 33217227.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7436529 + 64834704 = 2727^2 + 8052^2 .

It is not a de Polignac number, because 72271233 - 2⁴ = 72271217 is a prime.

It is a super-2 number, since 2×72271233² = 10446262238680578, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72271197 and 72271206.

It is not an unprimeable number, because it can be changed into a prime (72271237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 257053 + ... + 257333.

It is an arithmetic number, because the mean of its divisors is an integer number (3158259).

Almost surely, 2^72271233 is an apocalyptic number.

It is an amenable number.

72271233 is a deficient number, since it is larger than the sum of its proper divisors (41426091).

72271233 is a wasteful number, since it uses less digits than its factorization.

72271233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 342 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 72271233 is about 8501.2489082487. The cubic root of 72271233 is about 416.5385057213.

The spelling of 72271233 in words is "seventy-two million, two hundred seventy-one thousand, two hundred thirty-three".