93972000 has 192 divisors, whose sum is σ = 317011968. Its totient is φ = 24320000.

The previous prime is 93971987. The next prime is 93972031. The reversal of 93972000 is 27939.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491905 + ... + 492095.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2^93972000 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 93972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

93972000 is an abundant number, since it is smaller than the sum of its proper divisors (223039968).

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

93972000 is a wasteful number, since it uses less digits than its factorization.

93972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 93972000 is about 9693.9156175407. The cubic root of 93972000 is about 454.6384440055.

Adding to 93972000 its reverse (27939), we get a palindrome (93999939).

The spelling of 93972000 in words is "ninety-three million, nine hundred seventy-two thousand".