1084128072 has 64 divisors (see below), whose sum is σ = 2784257280. Its totient is φ = 351650112.

The previous prime is 1084128047. The next prime is 1084128193. The reversal of 1084128072 is 2708214801.

It is a happy number.

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, 129403 + ... + 137525.

It is an arithmetic number, because the mean of its divisors is an integer number (43504020).

Almost surely, 2^1084128072 is an apocalyptic number.

1084128072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1084128072 is an abundant number, since it is smaller than the sum of its proper divisors (1700129208).

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

1084128072 is a wasteful number, since it uses less digits than its factorization.

1084128072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 8278 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 1084128072 is about 32926.1001638518. The cubic root of 1084128072 is about 1027.2911104417.

The spelling of 1084128072 in words is "one billion, eighty-four million, one hundred twenty-eight thousand, seventy-two".