1017987072 has 120 divisors (see below), whose sum is σ = 2752428000. Its totient is φ = 334626816.

The previous prime is 1017987071. The next prime is 1017987097. The reversal of 1017987072 is 2707897101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017987071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6832054 + ... + 6832202.

It is an arithmetic number, because the mean of its divisors is an integer number (22936900).

Almost surely, 2^1017987072 is an apocalyptic number.

1017987072 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 1017987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376214000).

1017987072 is an abundant number, since it is smaller than the sum of its proper divisors (1734440928).

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

1017987072 is an equidigital number, since it uses as much as digits as its factorization.

1017987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 42.

The square root of 1017987072 is about 31905.9096720341. The cubic root of 1017987072 is about 1005.9600973334.

The spelling of 1017987072 in words is "one billion, seventeen million, nine hundred eighty-seven thousand, seventy-two".