116572400 has 240 divisors, whose sum is σ = 354263040. Its totient is φ = 35942400.

The previous prime is 116572399. The next prime is 116572427. The reversal of 116572400 is 4275611.

116572400 = T₃₈₄ + T₃₈₅ + ... + T₉₁₀.

It is a self number, because there is not a number n which added to its sum of digits gives 116572400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475561 + ... + 1475639.

It is an arithmetic number, because the mean of its divisors is an integer number (1476096).

Almost surely, 2^116572400 is an apocalyptic number.

116572400 is a gapful number since it is divisible by the number (10) 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 116572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177131520).

116572400 is an abundant number, since it is smaller than the sum of its proper divisors (237690640).

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

116572400 is a wasteful number, since it uses less digits than its factorization.

116572400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 116572400 is about 10796.8699167861. The cubic root of 116572400 is about 488.5007625040.

The spelling of 116572400 in words is "one hundred sixteen million, five hundred seventy-two thousand, four hundred".