715140 has 72 divisors (see below), whose sum is σ = 2260440. Its totient is φ = 182784.

The previous prime is 715123. The next prime is 715151. The reversal of 715140 is 41517.

715140 = T₁₃₅ + T₁₃₆ + ... + T₁₈₈.

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 617796 = 312^2 + 786^2 .

It is a super-2 number, since 2×715140² = 1022850439200, 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 715140.

It is an unprimeable number.

715140 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 23 ways as a sum of consecutive naturals, for example, 5152 + ... + 5288.

It is an arithmetic number, because the mean of its divisors is an integer number (31395).

2⁷¹⁵¹⁴⁰ 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 715140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130220).

715140 is an abundant number, since it is smaller than the sum of its proper divisors (1545300).

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

715140 is a wasteful number, since it uses less digits than its factorization.

715140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 176 counting only the distinct ones).

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

The square root of 715140 is about 845.6595059479. The cubic root of 715140 is about 89.4259762661.

Adding to 715140 its reverse (41517), we get a palindrome (756657).

The spelling of 715140 in words is "seven hundred fifteen thousand, one hundred forty".