1272892992 has 168 divisors, whose sum is σ = 4124492640. Its totient is φ = 344494080.

The previous prime is 1272892991. The next prime is 1272892993. The reversal of 1272892992 is 2992982721.

It is an interprime number because it is at equal distance from previous prime (1272892991) and next prime (1272892993).

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (1272892991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175192 + ... + 182312.

Almost surely, 2^1272892992 is an apocalyptic number.

1272892992 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 1272892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062246320).

1272892992 is an abundant number, since it is smaller than the sum of its proper divisors (2851599648).

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

1272892992 is a wasteful number, since it uses less digits than its factorization.

1272892992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7169 (or 7152 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 1272892992 is about 35677.6259299859. The cubic root of 1272892992 is about 1083.7537963839.

The spelling of 1272892992 in words is "one billion, two hundred seventy-two million, eight hundred ninety-two thousand, nine hundred ninety-two".