72417231 has 12 divisors (see below), whose sum is σ = 106076880. Its totient is φ = 47597760.

The previous prime is 72417217. The next prime is 72417259. The reversal of 72417231 is 13271427.

It is a happy number.

It is not a de Polignac number, because 72417231 - 2¹⁰ = 72416207 is a prime.

It is a super-2 number, since 2×72417231² = 10488510691414722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72417195 and 72417204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72410231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56026 + ... + 57303.

It is an arithmetic number, because the mean of its divisors is an integer number (8839740).

Almost surely, 2^72417231 is an apocalyptic number.

72417231 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

72417231 is a deficient number, since it is larger than the sum of its proper divisors (33659649).

72417231 is a wasteful number, since it uses less digits than its factorization.

72417231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113406 (or 113403 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 72417231 is about 8509.8314319380. The cubic root of 72417231 is about 416.8188057399.

Adding to 72417231 its reverse (13271427), we get a palindrome (85688658).

It can be divided in two parts, 724 and 17231, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 72417231 in words is "seventy-two million, four hundred seventeen thousand, two hundred thirty-one".