7990272 has 132 divisors (see below), whose sum is σ = 25137160. Its totient is φ = 2506752.

The previous prime is 7990259. The next prime is 7990273. The reversal of 7990272 is 2720997.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7990273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470008 + ... + 470024.

Almost surely, 2^7990272 is an apocalyptic number.

7990272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12568580).

7990272 is an abundant number, since it is smaller than the sum of its proper divisors (17146888).

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

7990272 is a wasteful number, since it uses less digits than its factorization.

7990272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7990272 is about 2826.7069179524. The cubic root of 7990272 is about 199.9189004521.

The spelling of 7990272 in words is "seven million, nine hundred ninety thousand, two hundred seventy-two".