72470133 has 48 divisors (see below), whose sum is σ = 117464256. Its totient is φ = 44478720.

The previous prime is 72470131. The next prime is 72470141. The reversal of 72470133 is 33107427.

It is not a de Polignac number, because 72470133 - 2¹ = 72470131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72470097 and 72470106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72470131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218778 + ... + 219108.

It is an arithmetic number, because the mean of its divisors is an integer number (2447172).

Almost surely, 2^72470133 is an apocalyptic number.

It is an amenable number.

72470133 is a deficient number, since it is larger than the sum of its proper divisors (44994123).

72470133 is a wasteful number, since it uses less digits than its factorization.

72470133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

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

The square root of 72470133 is about 8512.9391516679. The cubic root of 72470133 is about 416.9202787407.

The spelling of 72470133 in words is "seventy-two million, four hundred seventy thousand, one hundred thirty-three".