7251962432 has 112 divisors (see below), whose sum is σ = 17452506624. Its totient is φ = 2944512000.

The previous prime is 7251962429. The next prime is 7251962449. The reversal of 7251962432 is 2342691527.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7251962432.

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, 270932 + ... + 296492.

It is an arithmetic number, because the mean of its divisors is an integer number (155825952).

Almost surely, 2^7251962432 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 7251962432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8726253312).

7251962432 is an abundant number, since it is smaller than the sum of its proper divisors (10200544192).

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

7251962432 is a wasteful number, since it uses less digits than its factorization.

7251962432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25628 (or 25618 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 7251962432 is about 85158.4548474196. The cubic root of 7251962432 is about 1935.6129328863.

The spelling of 7251962432 in words is "seven billion, two hundred fifty-one million, nine hundred sixty-two thousand, four hundred thirty-two".