1065705672 has 64 divisors (see below), whose sum is σ = 2782785600. Its totient is φ = 339759360.

The previous prime is 1065705653. The next prime is 1065705689. The reversal of 1065705672 is 2765075601.

It is a super-2 number, since 2×1065705672² = 2271457158665943168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1065705672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42222 + ... + 62562.

It is an arithmetic number, because the mean of its divisors is an integer number (43481025).

Almost surely, 2^1065705672 is an apocalyptic number.

1065705672 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 1065705672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391392800).

1065705672 is an abundant number, since it is smaller than the sum of its proper divisors (1717079928).

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

1065705672 is a wasteful number, since it uses less digits than its factorization.

1065705672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20446 (or 20442 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 1065705672 is about 32645.1477558304. The cubic root of 1065705672 is about 1021.4389762985.

The spelling of 1065705672 in words is "one billion, sixty-five million, seven hundred five thousand, six hundred seventy-two".