16116772 has 48 divisors (see below), whose sum is σ = 33586560. Its totient is φ = 6624000.

The previous prime is 16116761. The next prime is 16116797. The reversal of 16116772 is 27761161.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115879 + ... + 116017.

It is an arithmetic number, because the mean of its divisors is an integer number (699720).

Almost surely, 2^16116772 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 16116772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793280).

16116772 is an abundant number, since it is smaller than the sum of its proper divisors (17469788).

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

16116772 is a wasteful number, since it uses less digits than its factorization.

16116772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its digits is 3528, while the sum is 31.

The square root of 16116772 is about 4014.5699645167. The cubic root of 16116772 is about 252.5957392719.

The spelling of 16116772 in words is "sixteen million, one hundred sixteen thousand, seven hundred seventy-two".