727590240 has 144 divisors (see below), whose sum is σ = 2673962928. Its totient is φ = 179094528.

The previous prime is 727590233. The next prime is 727590247. The reversal of 727590240 is 42095727.

727590240 is a `hidden beast` number, since 7 + 27 + 590 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (727590233) and next prime (727590247).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 727590195 and 727590204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727590247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714 + ... + 38153.

It is an arithmetic number, because the mean of its divisors is an integer number (18569187).

Almost surely, 2^727590240 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 727590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336981464).

727590240 is an abundant number, since it is smaller than the sum of its proper divisors (1946372688).

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

727590240 is a wasteful number, since it uses less digits than its factorization.

727590240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38901 (or 38890 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 727590240 is about 26973.8806996694. The cubic root of 727590240 is about 899.4194774808.

The spelling of 727590240 in words is "seven hundred twenty-seven million, five hundred ninety thousand, two hundred forty".