72142733 has 8 divisors (see below), whose sum is σ = 77763000. Its totient is φ = 66532608.

The previous prime is 72142729. The next prime is 72142751. The reversal of 72142733 is 33724127.

It can be written as a sum of positive squares in 4 ways, for example, as 1800964 + 70341769 = 1342^2 + 8387^2 .

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 72142733 - 2² = 72142729 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72142696 and 72142705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72142723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19193 + ... + 22641.

It is an arithmetic number, because the mean of its divisors is an integer number (9720375).

Almost surely, 2^72142733 is an apocalyptic number.

It is an amenable number.

72142733 is a deficient number, since it is larger than the sum of its proper divisors (5620267).

72142733 is a wasteful number, since it uses less digits than its factorization.

72142733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071.

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

The square root of 72142733 is about 8493.6878327379. The cubic root of 72142733 is about 416.2914874164.

The spelling of 72142733 in words is "seventy-two million, one hundred forty-two thousand, seven hundred thirty-three".