715104 has 72 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 218880.

The previous prime is 715087. The next prime is 715109. The reversal of 715104 is 401517.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×715104² = 1022747461632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715109) by changing a digit.

715104 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, 3649 + ... + 3839.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁷¹⁵¹⁰⁴ 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 715104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

715104 is an abundant number, since it is smaller than the sum of its proper divisors (1486368).

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

715104 is a wasteful number, since it uses less digits than its factorization.

715104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 715104 is about 845.6382205175. The cubic root of 715104 is about 89.4244756792.

The spelling of 715104 in words is "seven hundred fifteen thousand, one hundred four".