719520 has 48 divisors (see below), whose sum is σ = 2268000. Its totient is φ = 191744.

The previous prime is 719503. The next prime is 719533. The reversal of 719520 is 25917.

719520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2⁷¹⁹⁵²⁰ 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 719520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134000).

719520 is an abundant number, since it is smaller than the sum of its proper divisors (1548480).

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

719520 is a wasteful number, since it uses less digits than its factorization.

719520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 719520 is about 848.2452475552. The cubic root of 719520 is about 89.6081731490.

It can be divided in two parts, 71 and 9520, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 719520 in words is "seven hundred nineteen thousand, five hundred twenty".