709824672 has 36 divisors (see below), whose sum is σ = 2018564730. Its totient is φ = 236608128.

The previous prime is 709824671. The next prime is 709824673. The reversal of 709824672 is 276428907.

It is an interprime number because it is at equal distance from previous prime (709824671) and next prime (709824673).

It can be written as a sum of positive squares in only one way, i.e., 494439696 + 215384976 = 22236^2 + 14676^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (709824671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1232047 + ... + 1232622.

Almost surely, 2^709824672 is an apocalyptic number.

709824672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

709824672 is an abundant number, since it is smaller than the sum of its proper divisors (1308740058).

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

709824672 is a wasteful number, since it uses less digits than its factorization.

709824672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464685 (or 2464674 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 709824672 is about 26642.5350145214. The cubic root of 709824672 is about 892.0387014250.

The spelling of 709824672 in words is "seven hundred nine million, eight hundred twenty-four thousand, six hundred seventy-two".