972043200 has 168 divisors, whose sum is σ = 3543614960. Its totient is φ = 259200000.

The previous prime is 972043183. The next prime is 972043201. The reversal of 972043200 is 2340279.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972043201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31950 + ... + 54450.

Almost surely, 2^972043200 is an apocalyptic number.

972043200 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 972043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771807480).

972043200 is an abundant number, since it is smaller than the sum of its proper divisors (2571571760).

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

972043200 is a wasteful number, since it uses less digits than its factorization.

972043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22532 (or 22511 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 972043200 is about 31177.6073488650. The cubic root of 972043200 is about 990.5928496832.

Adding to 972043200 its reverse (2340279), we get a palindrome (974383479).

The spelling of 972043200 in words is "nine hundred seventy-two million, forty-three thousand, two hundred".