7256832 has 72 divisors (see below), whose sum is σ = 21094080. Its totient is φ = 2196480.

The previous prime is 7256827. The next prime is 7256849. The reversal of 7256832 is 2386527.

It is a super-2 number, since 2×7256832² = 105323221352448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 7256793 and 7256802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8019 + ... + 8877.

Almost surely, 2^7256832 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 7256832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10547040).

7256832 is an abundant number, since it is smaller than the sum of its proper divisors (13837248).

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

7256832 is a wasteful number, since it uses less digits than its factorization.

7256832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 875 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 7256832 is about 2693.8507753771. The cubic root of 7256832 is about 193.6046079544.

It can be divided in two parts, 725 and 6832, that added together give a palindrome (7557).

The spelling of 7256832 in words is "seven million, two hundred fifty-six thousand, eight hundred thirty-two".