262872000721 has 32 divisors (see below), whose sum is σ = 317391292800. Its totient is φ = 215006400000.

The previous prime is 262872000719. The next prime is 262872000751. The reversal of 262872000721 is 127000278262.

It is a 5-Lehmer number, since φ(262872000721) divides (262872000721-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 262872000721 - 2¹ = 262872000719 is a prime.

It is a super-2 number, since 2×262872000721² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (262872000751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14221 + ... + 725221.

It is an arithmetic number, because the mean of its divisors is an integer number (9918477900).

It is a Poulet number, since it divides 2^262872000720-1.

Almost surely, 2^262872000721 is an apocalyptic number.

It is an amenable number.

262872000721 is a deficient number, since it is larger than the sum of its proper divisors (54519292079).

262872000721 is a wasteful number, since it uses less digits than its factorization.

262872000721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711121.

The product of its (nonzero) digits is 37632, while the sum is 37.

Adding to 262872000721 its reverse (127000278262), we get a palindrome (389872278983).

The spelling of 262872000721 in words is "two hundred sixty-two billion, eight hundred seventy-two million, seven hundred twenty-one", and thus it is an aban number.