1287313272 has 96 divisors (see below), whose sum is σ = 4001587200. Its totient is φ = 366230592.

The previous prime is 1287313267. The next prime is 1287313297. The reversal of 1287313272 is 2723137821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 115113 + ... + 125799.

It is an arithmetic number, because the mean of its divisors is an integer number (41683200).

Almost surely, 2^1287313272 is an apocalyptic number.

1287313272 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 1287313272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000793600).

1287313272 is an abundant number, since it is smaller than the sum of its proper divisors (2714273928).

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

1287313272 is a wasteful number, since it uses less digits than its factorization.

1287313272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10945 (or 10938 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 1287313272 is about 35879.1481504230. The cubic root of 1287313272 is about 1087.8309619703.

It can be divided in two parts, 128 and 7313272, that added together give a triangular number (7313400 = T₃₈₂₄).

The spelling of 1287313272 in words is "one billion, two hundred eighty-seven million, three hundred thirteen thousand, two hundred seventy-two".