1072965216 has 24 divisors (see below), whose sum is σ = 2816533944. Its totient is φ = 357655040.

The previous prime is 1072965193. The next prime is 1072965323. The reversal of 1072965216 is 6125692701.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5588265 + ... + 5588456.

It is an arithmetic number, because the mean of its divisors is an integer number (117355581).

Almost surely, 2^1072965216 is an apocalyptic number.

1072965216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1072965216 is an abundant number, since it is smaller than the sum of its proper divisors (1743568728).

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

1072965216 is a wasteful number, since it uses less digits than its factorization.

1072965216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11176734 (or 11176726 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1072965216 is about 32756.1477588559. The cubic root of 1072965216 is about 1023.7530634218.

The spelling of 1072965216 in words is "one billion, seventy-two million, nine hundred sixty-five thousand, two hundred sixteen".