1272776832 has 96 divisors (see below), whose sum is σ = 3669943680. Its totient is φ = 423403008.

The previous prime is 1272776831. The next prime is 1272776833. The reversal of 1272776832 is 2386772721.

It is an interprime number because it is at equal distance from previous prime (1272776831) and next prime (1272776833).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1272776831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 855193 + ... + 856679.

It is an arithmetic number, because the mean of its divisors is an integer number (38228580).

Almost surely, 2^1272776832 is an apocalyptic number.

1272776832 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 1272776832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834971840).

1272776832 is an abundant number, since it is smaller than the sum of its proper divisors (2397166848).

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

1272776832 is a wasteful number, since it uses less digits than its factorization.

1272776832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2235 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 1272776832 is about 35675.9979818365. The cubic root of 1272776832 is about 1083.7208287866.

The spelling of 1272776832 in words is "one billion, two hundred seventy-two million, seven hundred seventy-six thousand, eight hundred thirty-two".