116752416 has 216 divisors, whose sum is σ = 370686960. Its totient is φ = 32060160.

The previous prime is 116752411. The next prime is 116752423. The reversal of 116752416 is 614257611.

It is a super-2 number, since 2×116752416² = 27262253283674112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (116752411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5076181 + ... + 5076203.

Almost surely, 2^116752416 is an apocalyptic number.

116752416 is a gapful number since it is divisible by the number (16) 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 116752416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185343480).

116752416 is an abundant number, since it is smaller than the sum of its proper divisors (253934544).

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

116752416 is a wasteful number, since it uses less digits than its factorization.

116752416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 116752416 is about 10805.2031910557. The cubic root of 116752416 is about 488.7520876497.

The spelling of 116752416 in words is "one hundred sixteen million, seven hundred fifty-two thousand, four hundred sixteen".