72124331 has 4 divisors (see below), whose sum is σ = 72398832. Its totient is φ = 71849832.

The previous prime is 72124301. The next prime is 72124357. The reversal of 72124331 is 13342127.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 13342127 = 17 ⋅784831.

It is a cyclic number.

It is not a de Polignac number, because 72124331 - 2⁶ = 72124267 is a prime.

It is a super-2 number, since 2×72124331² = 10403838244395122, 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 = 72124297 and 72124306.

It is not an unprimeable number, because it can be changed into a prime (72124301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136856 + ... + 137381.

It is an arithmetic number, because the mean of its divisors is an integer number (18099708).

Almost surely, 2^72124331 is an apocalyptic number.

72124331 is a deficient number, since it is larger than the sum of its proper divisors (274501).

72124331 is a wasteful number, since it uses less digits than its factorization.

72124331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274500.

The product of its digits is 1008, while the sum is 23.

The square root of 72124331 is about 8492.6044886124. The cubic root of 72124331 is about 416.2560888527.

Adding to 72124331 its reverse (13342127), we get a palindrome (85466458).

It can be divided in two parts, 721 and 24331, that added together give a palindrome (25052).

The spelling of 72124331 in words is "seventy-two million, one hundred twenty-four thousand, three hundred thirty-one".