7407972 has 72 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 2070720.

The previous prime is 7407949. The next prime is 7407979. The reversal of 7407972 is 2797047.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7407979) 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, 4429 + ... + 5867.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 2^7407972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7407972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

7407972 is an abundant number, since it is smaller than the sum of its proper divisors (14606748).

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

7407972 is a wasteful number, since it uses less digits than its factorization.

7407972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 7407972 is about 2721.7589900651. The cubic root of 7407972 is about 194.9394683913.

The spelling of 7407972 in words is "seven million, four hundred seven thousand, nine hundred seventy-two".