72775761 has 16 divisors (see below), whose sum is σ = 101001600. Its totient is φ = 46554368.

The previous prime is 72775741. The next prime is 72775763. The reversal of 72775761 is 16757727.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72775761 - 2¹¹ = 72773713 is a prime.

It is a super-2 number, since 2×72775761² = 10592622778258242, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (72775763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12025 + ... + 17033.

It is an arithmetic number, because the mean of its divisors is an integer number (6312600).

Almost surely, 2^72775761 is an apocalyptic number.

It is an amenable number.

72775761 is a deficient number, since it is larger than the sum of its proper divisors (28225839).

72775761 is a wasteful number, since it uses less digits than its factorization.

72775761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208.

The product of its digits is 144060, while the sum is 42.

The square root of 72775761 is about 8530.8710575181. The cubic root of 72775761 is about 417.5055488284.

It can be divided in two parts, 72775 and 761, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 72775761 in words is "seventy-two million, seven hundred seventy-five thousand, seven hundred sixty-one".