727268976 has 480 divisors, whose sum is σ = 2686970880. Its totient is φ = 186955776.

The previous prime is 727268957. The next prime is 727269013. The reversal of 727268976 is 679862727.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15473785 + ... + 15473831.

It is an arithmetic number, because the mean of its divisors is an integer number (5597856).

Almost surely, 2^727268976 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 727268976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343485440).

727268976 is an abundant number, since it is smaller than the sum of its proper divisors (1959701904).

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

727268976 is a wasteful number, since it uses less digits than its factorization.

727268976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 727268976 is about 26967.9249479822. The cubic root of 727268976 is about 899.2870798656.

The spelling of 727268976 in words is "seven hundred twenty-seven million, two hundred sixty-eight thousand, nine hundred seventy-six".