42772164 has 24 divisors (see below), whose sum is σ = 99922368. Its totient is φ = 14240160.

The previous prime is 42772159. The next prime is 42772181. The reversal of 42772164 is 46127724.

It is a super-4 number, since 4×42772164⁴ (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11809 + ... + 14999.

It is an arithmetic number, because the mean of its divisors is an integer number (4163432).

Almost surely, 2^42772164 is an apocalyptic number.

It is an amenable number.

42772164 is an abundant number, since it is smaller than the sum of its proper divisors (57150204).

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

42772164 is a wasteful number, since it uses less digits than its factorization.

42772164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4313 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 42772164 is about 6540.0431191239. The cubic root of 42772164 is about 349.7199501296.

Adding to 42772164 its reverse (46127724), we get a palindrome (88899888).

It can be divided in two parts, 4277 and 2164, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 42772164 in words is "forty-two million, seven hundred seventy-two thousand, one hundred sixty-four".