7251876 has 48 divisors (see below), whose sum is σ = 19051200. Its totient is φ = 2385216.

The previous prime is 7251857. The next prime is 7251883. The reversal of 7251876 is 6781527.

7251876 is a `hidden beast` number, since 72 + 518 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7251876.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8560 + ... + 9368.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^7251876 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 7251876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525600).

7251876 is an abundant number, since it is smaller than the sum of its proper divisors (11799324).

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

7251876 is a wasteful number, since it uses less digits than its factorization.

7251876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 7251876 is about 2692.9307454890. The cubic root of 7251876 is about 193.5605243034.

It can be divided in two parts, 725 and 1876, that added together give a square (2601 = 51²).

The spelling of 7251876 in words is "seven million, two hundred fifty-one thousand, eight hundred seventy-six".