72672133 has 4 divisors (see below), whose sum is σ = 72701388. Its totient is φ = 72642880.

The previous prime is 72672079. The next prime is 72672137. The reversal of 72672133 is 33127627.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33127627 = 13 ⋅2548279.

It can be written as a sum of positive squares in 2 ways, for example, as 16826404 + 55845729 = 4102^2 + 7473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72672133 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72672095 and 72672104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72672137) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10516 + ... + 15997.

It is an arithmetic number, because the mean of its divisors is an integer number (18175347).

Almost surely, 2^72672133 is an apocalyptic number.

It is an amenable number.

72672133 is a deficient number, since it is larger than the sum of its proper divisors (29255).

72672133 is a wasteful number, since it uses less digits than its factorization.

72672133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29254.

The product of its digits is 10584, while the sum is 31.

The square root of 72672133 is about 8524.7951881555. The cubic root of 72672133 is about 417.3072876843.

The spelling of 72672133 in words is "seventy-two million, six hundred seventy-two thousand, one hundred thirty-three".