7327152 has 80 divisors (see below), whose sum is σ = 24046080. Its totient is φ = 2092608.

The previous prime is 7327139. The next prime is 7327181. The reversal of 7327152 is 2517237.

It is a super-2 number, since 2×7327152² = 107374312862208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813 + ... + 4235.

It is an arithmetic number, because the mean of its divisors is an integer number (300576).

Almost surely, 2^7327152 is an apocalyptic number.

7327152 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 7327152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12023040).

7327152 is an abundant number, since it is smaller than the sum of its proper divisors (16718928).

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

7327152 is a wasteful number, since it uses less digits than its factorization.

7327152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2435 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 7327152 is about 2706.8712566356. The cubic root of 7327152 is about 194.2279532528.

It can be divided in two parts, 73 and 27152, that added together give a square (27225 = 165²).

The spelling of 7327152 in words is "seven million, three hundred twenty-seven thousand, one hundred fifty-two".