94972800 has 192 divisors, whose sum is σ = 337322160. Its totient is φ = 23347200.

The previous prime is 94972793. The next prime is 94972817. The reversal of 94972800 is 827949.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124420 + ... + 125180.

Almost surely, 2^94972800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168661080).

94972800 is an abundant number, since it is smaller than the sum of its proper divisors (242349360).

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

94972800 is a wasteful number, since it uses less digits than its factorization.

94972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 94972800 is about 9745.3989143595. The cubic root of 94972800 is about 456.2467116796.

The spelling of 94972800 in words is "ninety-four million, nine hundred seventy-two thousand, eight hundred".