715727040 has 224 divisors, whose sum is σ = 2634447360. Its totient is φ = 161243136.

The previous prime is 715727029. The next prime is 715727059. The reversal of 715727040 is 40727517.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 715726992 and 715727010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489831 + ... + 491289.

Almost surely, 2^715727040 is an apocalyptic number.

715727040 is a gapful number since it is divisible by the number (70) 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 715727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317223680).

715727040 is an abundant number, since it is smaller than the sum of its proper divisors (1918720320).

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

715727040 is a wasteful number, since it uses less digits than its factorization.

715727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 715727040 is about 26753.0753372393. The cubic root of 715727040 is about 894.5043873371.

The spelling of 715727040 in words is "seven hundred fifteen million, seven hundred twenty-seven thousand, forty".