1065878172 has 72 divisors (see below), whose sum is σ = 2857707216. Its totient is φ = 333817344.

The previous prime is 1065878161. The next prime is 1065878197. The reversal of 1065878172 is 2718785601.

It is a happy number.

It is a super-3 number, since 3×1065878172³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480538 + ... + 482750.

It is an arithmetic number, because the mean of its divisors is an integer number (39690378).

Almost surely, 2^1065878172 is an apocalyptic number.

1065878172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065878172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428853608).

1065878172 is an abundant number, since it is smaller than the sum of its proper divisors (1791829044).

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

1065878172 is a wasteful number, since it uses less digits than its factorization.

1065878172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 1065878172 is about 32647.7896954756. The cubic root of 1065878172 is about 1021.4940849219.

The spelling of 1065878172 in words is "one billion, sixty-five million, eight hundred seventy-eight thousand, one hundred seventy-two".