727673856 has 352 divisors, whose sum is σ = 2531074560. Its totient is φ = 180486144.

The previous prime is 727673851. The next prime is 727673861. The reversal of 727673856 is 658376727.

It is an interprime number because it is at equal distance from previous prime (727673851) and next prime (727673861).

It is a junction number, because it is equal to n+sod(n) for n = 727673799 and 727673808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727673851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5311420 + ... + 5311556.

Almost surely, 2^727673856 is an apocalyptic number.

727673856 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265537280).

727673856 is an abundant number, since it is smaller than the sum of its proper divisors (1803400704).

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

727673856 is a wasteful number, since it uses less digits than its factorization.

727673856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 51.

The square root of 727673856 is about 26975.4305989728. The cubic root of 727673856 is about 899.4539304710.

The spelling of 727673856 in words is "seven hundred twenty-seven million, six hundred seventy-three thousand, eight hundred fifty-six".