727153920 has 432 divisors, whose sum is σ = 2754984960. Its totient is φ = 176357376.

The previous prime is 727153919. The next prime is 727153927. The reversal of 727153920 is 29351727.

727153920 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727153927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9204441 + ... + 9204519.

It is an arithmetic number, because the mean of its divisors is an integer number (6377280).

Almost surely, 2^727153920 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 727153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377492480).

727153920 is an abundant number, since it is smaller than the sum of its proper divisors (2027831040).

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

727153920 is a wasteful number, since it uses less digits than its factorization.

727153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 727153920 is about 26965.7916627716. The cubic root of 727153920 is about 899.2396541151.

The spelling of 727153920 in words is "seven hundred twenty-seven million, one hundred fifty-three thousand, nine hundred twenty".