727235040 has 192 divisors, whose sum is σ = 2682408960. Its totient is φ = 162140160.

The previous prime is 727235021. The next prime is 727235063. The reversal of 727235040 is 40532727.

727235040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 727234989 and 727235007.

It is a congruent number.

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, 135121 + ... + 140399.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2^727235040 is an apocalyptic number.

727235040 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 727235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341204480).

727235040 is an abundant number, since it is smaller than the sum of its proper divisors (1955173920).

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

727235040 is a wasteful number, since it uses less digits than its factorization.

727235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 727235040 is about 26967.2957487398. The cubic root of 727235040 is about 899.2730920647.

Adding to 727235040 its reverse (40532727), we get a palindrome (767767767).

The spelling of 727235040 in words is "seven hundred twenty-seven million, two hundred thirty-five thousand, forty".