7993272 has 64 divisors (see below), whose sum is σ = 23328000. Its totient is φ = 2281440.

The previous prime is 7993231. The next prime is 7993273. The reversal of 7993272 is 2723997.

It is a self number, because there is not a number n which added to its sum of digits gives 7993272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7747 + ... + 8717.

It is an arithmetic number, because the mean of its divisors is an integer number (364500).

Almost surely, 2^7993272 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 7993272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664000).

7993272 is an abundant number, since it is smaller than the sum of its proper divisors (15334728).

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

7993272 is a wasteful number, since it uses less digits than its factorization.

7993272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 983 counting only the distinct ones).

The product of its digits is 47628, while the sum is 39.

The square root of 7993272 is about 2827.2375209734. The cubic root of 7993272 is about 199.9439176086.

The spelling of 7993272 in words is "seven million, nine hundred ninety-three thousand, two hundred seventy-two".