727440 has 80 divisors (see below), whose sum is σ = 2583168. Its totient is φ = 165888.

The previous prime is 727427. The next prime is 727451. The reversal of 727440 is 44727.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 727440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464 + ... + 1896.

2⁷²⁷⁴⁴⁰ is an apocalyptic number.

727440 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 727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291584).

727440 is an abundant number, since it is smaller than the sum of its proper divisors (1855728).

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

727440 is a wasteful number, since it uses less digits than its factorization.

727440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 727440 is about 852.9009321135. The cubic root of 727440 is about 89.9357566221.

The spelling of 727440 in words is "seven hundred twenty-seven thousand, four hundred forty", and thus it is an iban number.