94972320 has 144 divisors (see below), whose sum is σ = 327803112. Its totient is φ = 25036800.

The previous prime is 94972309. The next prime is 94972331. The reversal of 94972320 is 2327949.

It is an interprime number because it is at equal distance from previous prime (94972309) and next prime (94972331).

It can be written as a sum of positive squares in 4 ways, for example, as 86044176 + 8928144 = 9276^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 145114 + ... + 145766.

Almost surely, 2^94972320 is an apocalyptic number.

94972320 is a gapful number since it is divisible by the number (90) 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 94972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163901556).

94972320 is an abundant number, since it is smaller than the sum of its proper divisors (232830792).

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

94972320 is a wasteful number, since it uses less digits than its factorization.

94972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 94972320 is about 9745.3742873222. The cubic root of 94972320 is about 456.2459430427.

The spelling of 94972320 in words is "ninety-four million, nine hundred seventy-two thousand, three hundred twenty".