115072416 has 36 divisors (see below), whose sum is σ = 327238002. Its totient is φ = 38357376.

The previous prime is 115072411. The next prime is 115072421. The reversal of 115072416 is 614270511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115072411) and next prime (115072421).

It can be written as a sum of positive squares in only one way, i.e., 110250000 + 4822416 = 10500^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 115072416.

It is not an unprimeable number, because it can be changed into a prime (115072411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199491 + ... + 200066.

Almost surely, 2^115072416 is an apocalyptic number.

115072416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115072416 is an abundant number, since it is smaller than the sum of its proper divisors (212165586).

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

115072416 is a wasteful number, since it uses less digits than its factorization.

115072416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399573 (or 399562 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 115072416 is about 10727.1811768050. The cubic root of 115072416 is about 486.3964655935.

The spelling of 115072416 in words is "one hundred fifteen million, seventy-two thousand, four hundred sixteen".