727640712 has 32 divisors (see below), whose sum is σ = 2021224800. Its totient is φ = 242546832.

The previous prime is 727640707. The next prime is 727640729. The reversal of 727640712 is 217046727.

It is a happy number.

727640712 is a `hidden beast` number, since 7 + 2 + 7 + 640 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×727640712² = 1058922011519733888, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1684138 + ... + 1684569.

It is an arithmetic number, because the mean of its divisors is an integer number (63163275).

Almost surely, 2^727640712 is an apocalyptic number.

727640712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

727640712 is an abundant number, since it is smaller than the sum of its proper divisors (1293584088).

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

727640712 is a wasteful number, since it uses less digits than its factorization.

727640712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368722 (or 3368712 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 727640712 is about 26974.8162551666. The cubic root of 727640712 is about 899.4402741911.

The spelling of 727640712 in words is "seven hundred twenty-seven million, six hundred forty thousand, seven hundred twelve".