114303072 has 96 divisors (see below), whose sum is σ = 328188672. Its totient is φ = 34619904.

The previous prime is 114303067. The next prime is 114303083. The reversal of 114303072 is 270303411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82933 + ... + 84299.

It is an arithmetic number, because the mean of its divisors is an integer number (3418632).

Almost surely, 2^114303072 is an apocalyptic number.

114303072 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 114303072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164094336).

114303072 is an abundant number, since it is smaller than the sum of its proper divisors (213885600).

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

114303072 is a wasteful number, since it uses less digits than its factorization.

114303072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 114303072 is about 10691.2614784225. The cubic root of 114303072 is about 485.3100677841.

Adding to 114303072 its reverse (270303411), we get a palindrome (384606483).

The spelling of 114303072 in words is "one hundred fourteen million, three hundred three thousand, seventy-two".