126073200 has 120 divisors (see below), whose sum is σ = 440614656. Its totient is φ = 30560000.

The previous prime is 126073193. The next prime is 126073243. The reversal of 126073200 is 2370621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8425 + ... + 17975.

Almost surely, 2^126073200 is an apocalyptic number.

126073200 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 126073200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220307328).

126073200 is an abundant number, since it is smaller than the sum of its proper divisors (314541456).

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

126073200 is a wasteful number, since it uses less digits than its factorization.

126073200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9583 (or 9572 counting only the distinct ones).

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

The square root of 126073200 is about 11228.2322740492. The cubic root of 126073200 is about 501.4268576147.

The spelling of 126073200 in words is "one hundred twenty-six million, seventy-three thousand, two hundred".