727877472 has 48 divisors (see below), whose sum is σ = 2183634432. Its totient is φ = 207964800.

The previous prime is 727877443. The next prime is 727877473. The reversal of 727877472 is 274778727.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×727877472² = 1059611228490221568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727877473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540904 + ... + 542247.

It is an arithmetic number, because the mean of its divisors is an integer number (45492384).

Almost surely, 2^727877472 is an apocalyptic number.

It is an amenable number.

727877472 is an abundant number, since it is smaller than the sum of its proper divisors (1455756960).

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

727877472 is a wasteful number, since it uses less digits than its factorization.

727877472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083171 (or 1083163 counting only the distinct ones).

The product of its digits is 2151296, while the sum is 51.

The square root of 727877472 is about 26979.2044360096. The cubic root of 727877472 is about 899.5378170137.

The spelling of 727877472 in words is "seven hundred twenty-seven million, eight hundred seventy-seven thousand, four hundred seventy-two".