727578720 has 384 divisors, whose sum is σ = 2834818560. Its totient is φ = 172800000.

The previous prime is 727578697. The next prime is 727578749. The reversal of 727578720 is 27875727.

It is a happy number.

727578720 is a `hidden beast` number, since 7 + 2 + 7 + 578 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2898595 + ... + 2898845.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2^727578720 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 727578720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417409280).

727578720 is an abundant number, since it is smaller than the sum of its proper divisors (2107239840).

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

727578720 is a wasteful number, since it uses less digits than its factorization.

727578720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The square root of 727578720 is about 26973.6671589163. The cubic root of 727578720 is about 899.4147305933.

The spelling of 727578720 in words is "seven hundred twenty-seven million, five hundred seventy-eight thousand, seven hundred twenty".