7413972 has 24 divisors (see below), whose sum is σ = 18317376. Its totient is φ = 2325888.

The previous prime is 7413919. The next prime is 7413977. The reversal of 7413972 is 2793147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7413977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17968 + ... + 18375.

It is an arithmetic number, because the mean of its divisors is an integer number (763224).

Almost surely, 2^7413972 is an apocalyptic number.

It is an amenable number.

7413972 is an abundant number, since it is smaller than the sum of its proper divisors (10903404).

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

7413972 is a wasteful number, since it uses less digits than its factorization.

7413972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36367 (or 36365 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 7413972 is about 2722.8609953503. The cubic root of 7413972 is about 194.9920838338.

It can be divided in two parts, 7413 and 972, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 7413972 in words is "seven million, four hundred thirteen thousand, nine hundred seventy-two".