1972231200 has 576 divisors, whose sum is σ = 7795751040. Its totient is φ = 479232000.

The previous prime is 1972231181. The next prime is 1972231213. The reversal of 1972231200 is 21322791.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15055135 + ... + 15055265.

It is an arithmetic number, because the mean of its divisors is an integer number (13534290).

Almost surely, 2^1972231200 is an apocalyptic number.

1972231200 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 1972231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897875520).

1972231200 is an abundant number, since it is smaller than the sum of its proper divisors (5823519840).

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

1972231200 is a wasteful number, since it uses less digits than its factorization.

1972231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1972231200 is about 44409.8097271312. The cubic root of 1972231200 is about 1254.0627701461.

Adding to 1972231200 its reverse (21322791), we get a palindrome (1993553991).

The spelling of 1972231200 in words is "one billion, nine hundred seventy-two million, two hundred thirty-one thousand, two hundred".