727446312 has 128 divisors (see below), whose sum is σ = 2142480000. Its totient is φ = 228054528.

The previous prime is 727446311. The next prime is 727446347. The reversal of 727446312 is 213644727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (727446311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643764 + ... + 644892.

It is an arithmetic number, because the mean of its divisors is an integer number (16738125).

Almost surely, 2^727446312 is an apocalyptic number.

727446312 is a gapful number since it is divisible by the number (72) 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 727446312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071240000).

727446312 is an abundant number, since it is smaller than the sum of its proper divisors (1415033688).

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

727446312 is a wasteful number, since it uses less digits than its factorization.

727446312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1310 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 727446312 is about 26971.2126534941. The cubic root of 727446312 is about 899.3601674570.

The spelling of 727446312 in words is "seven hundred twenty-seven million, four hundred forty-six thousand, three hundred twelve".