712302721 has 9 divisors (see below), whose sum is σ = 771685929. Its totient is φ = 657189936.

The previous prime is 712302713. The next prime is 712302757. The reversal of 712302721 is 127203217.

The square root of 712302721 is 26689.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 95277121 + 617025600 = 9761^2 + 24840^2 .

It is not a de Polignac number, because 712302721 - 2³ = 712302713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712302791) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 345931 + ... + 347983.

It is an arithmetic number, because the mean of its divisors is an integer number (85742881).

Almost surely, 2^712302721 is an apocalyptic number.

712302721 is the 26689-th square number.

712302721 is the 13345-th centered octagonal number.

It is an amenable number.

712302721 is a deficient number, since it is larger than the sum of its proper divisors (59383208).

712302721 is an frugal number, since it uses more digits than its factorization.

712302721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The cubic root of 712302721 is about 893.0755528806.

Multiplying 712302721 by its sum of digits (25), we get a square (17807568025 = 133445²).

Adding to 712302721 its reverse (127203217), we get a palindrome (839505938).

The spelling of 712302721 in words is "seven hundred twelve million, three hundred two thousand, seven hundred twenty-one".