7801272 has 48 divisors (see below), whose sum is σ = 21916440. Its totient is φ = 2599776.

The previous prime is 7801259. The next prime is 7801289. The reversal of 7801272 is 2721087.

7801272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63 + ... + 3950.

Almost surely, 2^7801272 is an apocalyptic number.

7801272 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 7801272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10958220).

7801272 is an abundant number, since it is smaller than the sum of its proper divisors (14115168).

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

7801272 is a wasteful number, since it uses less digits than its factorization.

7801272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7801272 is about 2793.0757240003. The cubic root of 7801272 is about 198.3300281130.

The spelling of 7801272 in words is "seven million, eight hundred one thousand, two hundred seventy-two".