114102072 has 192 divisors, whose sum is σ = 373401600. Its totient is φ = 30792960.

The previous prime is 114102071. The next prime is 114102073. The reversal of 114102072 is 270201411.

It is an interprime number because it is at equal distance from previous prime (114102071) and next prime (114102073).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114102071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046754 + ... + 1046862.

It is an arithmetic number, because the mean of its divisors is an integer number (1944800).

Almost surely, 2^114102072 is an apocalyptic number.

114102072 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 114102072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186700800).

114102072 is an abundant number, since it is smaller than the sum of its proper divisors (259299528).

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

114102072 is a wasteful number, since it uses less digits than its factorization.

114102072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 114102072 is about 10681.8571419019. The cubic root of 114102072 is about 485.0254310539.

Adding to 114102072 its reverse (270201411), we get a palindrome (384303483).

The spelling of 114102072 in words is "one hundred fourteen million, one hundred two thousand, seventy-two".