72414531 has 24 divisors (see below), whose sum is σ = 120013920. Its totient is φ = 41216256.

The previous prime is 72414521. The next prime is 72414539. The reversal of 72414531 is 13541427.

72414531 = 379² + 380² + ... + 647².

It is not a de Polignac number, because 72414531 - 2⁵ = 72414499 is a prime.

It is a super-2 number, since 2×72414531² = 10487728599899922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72414495 and 72414504.

It is not an unprimeable number, because it can be changed into a prime (72414539) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14811 + ... + 19083.

It is an arithmetic number, because the mean of its divisors is an integer number (5000580).

Almost surely, 2^72414531 is an apocalyptic number.

72414531 is a deficient number, since it is larger than the sum of its proper divisors (47599389).

72414531 is a wasteful number, since it uses less digits than its factorization.

72414531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4552 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 72414531 is about 8509.6727904191. The cubic root of 72414531 is about 416.8136254592.

Adding to 72414531 its reverse (13541427), we get a palindrome (85955958).

The spelling of 72414531 in words is "seventy-two million, four hundred fourteen thousand, five hundred thirty-one".