72414740 has 24 divisors (see below), whose sum is σ = 157316040. Its totient is φ = 27966848.

The previous prime is 72414737. The next prime is 72414743. The reversal of 72414740 is 4741427.

It is an interprime number because it is at equal distance from previous prime (72414737) and next prime (72414743).

It can be written as a sum of positive squares in 4 ways, for example, as 12630916 + 59783824 = 3554^2 + 7732^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72414743) 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 7 ways as a sum of consecutive naturals, for example, 61847 + ... + 63006.

It is an arithmetic number, because the mean of its divisors is an integer number (6554835).

Almost surely, 2^72414740 is an apocalyptic number.

It is an amenable number.

72414740 is an abundant number, since it is smaller than the sum of its proper divisors (84901300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72414740 is a wasteful number, since it uses less digits than its factorization.

72414740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124891 (or 124889 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The square root of 72414740 is about 8509.6850705534. The cubic root of 72414740 is about 416.8140264559.

The spelling of 72414740 in words is "seventy-two million, four hundred fourteen thousand, seven hundred forty".