72414729 has 24 divisors (see below), whose sum is σ = 111983872. Its totient is φ = 46714320.

The previous prime is 72414721. The next prime is 72414737. The reversal of 72414729 is 92741427.

It is an interprime number because it is at equal distance from previous prime (72414721) and next prime (72414737).

It is not a de Polignac number, because 72414729 - 2³ = 72414721 is a prime.

It is a super-2 number, since 2×72414729² = 10487785952286882, 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 = 72414693 and 72414702.

It is not an unprimeable number, because it can be changed into a prime (72414721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2727 + ... + 12339.

Almost surely, 2^72414729 is an apocalyptic number.

It is an amenable number.

72414729 is a deficient number, since it is larger than the sum of its proper divisors (39569143).

72414729 is an equidigital number, since it uses as much as digits as its factorization.

72414729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9659 (or 9647 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72414729 is about 8509.6844242310. The cubic root of 72414729 is about 416.8140053508.

It can be divided in two parts, 7241472 and 9, that added together give a square (7241481 = 2691²).

The spelling of 72414729 in words is "seventy-two million, four hundred fourteen thousand, seven hundred twenty-nine".