1287975072 has 96 divisors (see below), whose sum is σ = 3435264000. Its totient is φ = 422489088.

The previous prime is 1287975061. The next prime is 1287975109. The reversal of 1287975072 is 2705797821.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1816254 + ... + 1816962.

It is an arithmetic number, because the mean of its divisors is an integer number (35784000).

Almost surely, 2^1287975072 is an apocalyptic number.

1287975072 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 1287975072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717632000).

1287975072 is an abundant number, since it is smaller than the sum of its proper divisors (2147288928).

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

1287975072 is a wasteful number, since it uses less digits than its factorization.

1287975072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

The square root of 1287975072 is about 35888.3695923902. The cubic root of 1287975072 is about 1088.0173458163.

The spelling of 1287975072 in words is "one billion, two hundred eighty-seven million, nine hundred seventy-five thousand, seventy-two".