727521408120 has 256 divisors, whose sum is σ = 2491855994880. Its totient is φ = 168621004800.

The previous prime is 727521408109. The next prime is 727521408197. The reversal of 727521408120 is 21804125727.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1586025 + ... + 1992615.

It is an arithmetic number, because the mean of its divisors is an integer number (9733812480).

Almost surely, 2^727521408120 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 727521408120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245927997440).

727521408120 is an abundant number, since it is smaller than the sum of its proper divisors (1764334586760).

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

727521408120 is a wasteful number, since it uses less digits than its factorization.

727521408120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406686 (or 406682 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 727521408120 in words is "seven hundred twenty-seven billion, five hundred twenty-one million, four hundred eight thousand, one hundred twenty".