727079040 has 96 divisors (see below), whose sum is σ = 2510714700. Its totient is φ = 193886208.

The previous prime is 727079033. The next prime is 727079047. The reversal of 727079040 is 40970727.

It is an interprime number because it is at equal distance from previous prime (727079033) and next prime (727079047).

It can be written as a sum of positive squares in 2 ways, for example, as 675584064 + 51494976 = 25992^2 + 7176^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 727078986 and 727079004.

It is not an unprimeable number, because it can be changed into a prime (727079047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57355 + ... + 68874.

Almost surely, 2^727079040 is an apocalyptic number.

It is an amenable number.

727079040 is an abundant number, since it is smaller than the sum of its proper divisors (1783635660).

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

727079040 is a wasteful number, since it uses less digits than its factorization.

727079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126254 (or 126239 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 727079040 is about 26964.4032012578. The cubic root of 727079040 is about 899.2087861082.

The spelling of 727079040 in words is "seven hundred twenty-seven million, seventy-nine thousand, forty".