72471233 has 8 divisors (see below), whose sum is σ = 73942440. Its totient is φ = 71009280.

The previous prime is 72471199. The next prime is 72471241. The reversal of 72471233 is 33217427.

It can be written as a sum of positive squares in 4 ways, for example, as 2380849 + 70090384 = 1543^2 + 8372^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72471233 - 2¹² = 72467137 is a prime.

It is a super-2 number, since 2×72471233² = 10504159225080578, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72471196 and 72471205.

It is not an unprimeable number, because it can be changed into a prime (72471283) 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 7 ways as a sum of consecutive naturals, for example, 14753 + ... + 19041.

It is an arithmetic number, because the mean of its divisors is an integer number (9242805).

Almost surely, 2^72471233 is an apocalyptic number.

It is an amenable number.

72471233 is a deficient number, since it is larger than the sum of its proper divisors (1471207).

72471233 is a wasteful number, since it uses less digits than its factorization.

72471233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627.

The product of its digits is 7056, while the sum is 29.

The square root of 72471233 is about 8513.0037589561. The cubic root of 72471233 is about 416.9223881613.

The spelling of 72471233 in words is "seventy-two million, four hundred seventy-one thousand, two hundred thirty-three".