111272616 has 384 divisors, whose sum is σ = 418279680. Its totient is φ = 26873856.

The previous prime is 111272611. The next prime is 111272621. The reversal of 111272616 is 616272111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111272611) and next prime (111272621).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 111272616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111272611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3007350 + ... + 3007386.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^111272616 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 111272616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

111272616 is an abundant number, since it is smaller than the sum of its proper divisors (307007064).

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

111272616 is a wasteful number, since it uses less digits than its factorization.

111272616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 111272616 is about 10548.5836016026. The cubic root of 111272616 is about 480.9826743586.

The spelling of 111272616 in words is "one hundred eleven million, two hundred seventy-two thousand, six hundred sixteen".