72142813 has 2 divisors, whose sum is σ = 72142814. Its totient is φ = 72142812.

The previous prime is 72142793. The next prime is 72142871. The reversal of 72142813 is 31824127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63154809 + 8988004 = 7947^2 + 2998^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72142813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72142313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36071406 + 36071407.

It is an arithmetic number, because the mean of its divisors is an integer number (36071407).

Almost surely, 2^72142813 is an apocalyptic number.

It is an amenable number.

72142813 is a deficient number, since it is larger than the sum of its proper divisors (1).

72142813 is an equidigital number, since it uses as much as digits as its factorization.

72142813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2688, while the sum is 28.

The square root of 72142813 is about 8493.6925421162. The cubic root of 72142813 is about 416.2916412934.

It can be divided in two parts, 721 and 42813, that added together give a palindrome (43534).

The spelling of 72142813 in words is "seventy-two million, one hundred forty-two thousand, eight hundred thirteen".