1016335072 has 48 divisors (see below), whose sum is σ = 2127746880. Its totient is φ = 476213248.

The previous prime is 1016335039. The next prime is 1016335147. The reversal of 1016335072 is 2705336101.

It is a self number, because there is not a number n which added to its sum of digits gives 1016335072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126108 + ... + 133924.

It is an arithmetic number, because the mean of its divisors is an integer number (44328060).

Almost surely, 2^1016335072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016335072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063873440).

1016335072 is an abundant number, since it is smaller than the sum of its proper divisors (1111411808).

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

1016335072 is a wasteful number, since it uses less digits than its factorization.

1016335072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8083 (or 8075 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 1016335072 is about 31880.0105395215. The cubic root of 1016335072 is about 1005.4156418776.

The spelling of 1016335072 in words is "one billion, sixteen million, three hundred thirty-five thousand, seventy-two".