72777705 has 128 divisors (see below), whose sum is σ = 161796096. Its totient is φ = 26956800.

The previous prime is 72777673. The next prime is 72777721. The reversal of 72777705 is 50777727.

It is not a de Polignac number, because 72777705 - 2⁵ = 72777673 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 555490 + ... + 555620.

It is an arithmetic number, because the mean of its divisors is an integer number (1264032).

Almost surely, 2^72777705 is an apocalyptic number.

It is an amenable number.

72777705 is an abundant number, since it is smaller than the sum of its proper divisors (89018391).

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

72777705 is a wasteful number, since it uses less digits than its factorization.

72777705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207.

The product of its (nonzero) digits is 168070, while the sum is 42.

The square root of 72777705 is about 8530.9849958841. The cubic root of 72777705 is about 417.5092662913.

It can be divided in two parts, 72 and 777705, that added together give a palindrome (777777).

The spelling of 72777705 in words is "seventy-two million, seven hundred seventy-seven thousand, seven hundred five".