5672951761 has 9 divisors (see below), whose sum is σ = 5733772443. Its totient is φ = 5612771880.

The previous prime is 5672951741. The next prime is 5672951797. The reversal of 5672951761 is 1671592765.

The square root of 5672951761 is 75319.

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

It can be written as a sum of positive squares in only one way, i.e., 3954020161 + 1718931600 = 62881^2 + 41460^2 .

It is not a de Polignac number, because 5672951761 - 2²⁵ = 5639397329 is a prime.

It is a super-2 number, since 2×5672951761² = 64364763365266002242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5672951741) 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, 8209426 + ... + 8210116.

It is an arithmetic number, because the mean of its divisors is an integer number (637085827).

Almost surely, 2^5672951761 is an apocalyptic number.

5672951761 is the 75319-th square number.

5672951761 is the 37660-th centered octagonal number.

It is an amenable number.

5672951761 is a deficient number, since it is larger than the sum of its proper divisors (60820682).

5672951761 is an frugal number, since it uses more digits than its factorization.

5672951761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 800 counting only the distinct ones).

The product of its digits is 793800, while the sum is 49.

The cubic root of 5672951761 is about 1783.4859684265.

Multiplying 5672951761 by its sum of digits (49), we get a square (277974636289 = 527233²).

The spelling of 5672951761 in words is "five billion, six hundred seventy-two million, nine hundred fifty-one thousand, seven hundred sixty-one".