703872 has 96 divisors (see below), whose sum is σ = 2227680. Its totient is φ = 211968.

The previous prime is 703861. The next prime is 703873. The reversal of 703872 is 278307.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (703873) by changing a digit.

703872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14953 + ... + 14999.

It is an arithmetic number, because the mean of its divisors is an integer number (23205).

2⁷⁰³⁸⁷² is an apocalyptic number.

703872 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 703872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840).

703872 is an abundant number, since it is smaller than the sum of its proper divisors (1523808).

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

703872 is a wasteful number, since it uses less digits than its factorization.

703872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 703872 is about 838.9707980615. The cubic root of 703872 is about 88.9538118291.

Subtracting from 703872 its product of nonzero digits (2352), we obtain a triangular number (701520 = T₁₁₈₄).

The spelling of 703872 in words is "seven hundred three thousand, eight hundred seventy-two".