1065172900 has 72 divisors (see below), whose sum is σ = 2608583040. Its totient is φ = 373968000.

The previous prime is 1065172883. The next prime is 1065172919. The reversal of 1065172900 is 92715601.

It is a super-2 number, since 2×1065172900² = 2269186613788820000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15205 + ... + 48595.

It is an arithmetic number, because the mean of its divisors is an integer number (36230320).

Almost surely, 2^1065172900 is an apocalyptic number.

1065172900 is a gapful number since it is divisible by the number (10) 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 1065172900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304291520).

1065172900 is an abundant number, since it is smaller than the sum of its proper divisors (1543410140).

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

1065172900 is a wasteful number, since it uses less digits than its factorization.

1065172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33445 (or 33438 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 1065172900 is about 32636.9866868864. The cubic root of 1065172900 is about 1021.2687339226.

The spelling of 1065172900 in words is "one billion, sixty-five million, one hundred seventy-two thousand, nine hundred".