727547507072 has 64 divisors (see below), whose sum is σ = 1471955423040. Its totient is φ = 358122293760.

The previous prime is 727547507041. The next prime is 727547507149. The reversal of 727547507072 is 270705745727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14270747 + ... + 14321637.

It is an arithmetic number, because the mean of its divisors is an integer number (22999303485).

Almost surely, 2^727547507072 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 727547507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735977711520).

727547507072 is an abundant number, since it is smaller than the sum of its proper divisors (744407915968).

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

727547507072 is a wasteful number, since it uses less digits than its factorization.

727547507072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52639 (or 52627 counting only the distinct ones).

The product of its (nonzero) digits is 6722800, while the sum is 53.

The spelling of 727547507072 in words is "seven hundred twenty-seven billion, five hundred forty-seven million, five hundred seven thousand, seventy-two".