1972212768 has 144 divisors (see below), whose sum is σ = 5924318400. Its totient is φ = 620628480.

The previous prime is 1972212761. The next prime is 1972212769. The reversal of 1972212768 is 8672122791.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1972212761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2401798 + ... + 2402618.

It is an arithmetic number, because the mean of its divisors is an integer number (41141100).

Almost surely, 2^1972212768 is an apocalyptic number.

1972212768 is a gapful number since it is divisible by the number (18) 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 1972212768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962159200).

1972212768 is an abundant number, since it is smaller than the sum of its proper divisors (3952105632).

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

1972212768 is a wasteful number, since it uses less digits than its factorization.

1972212768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1284 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 1972212768 is about 44409.6022049286. The cubic root of 1972212768 is about 1254.0588634106.

The spelling of 1972212768 in words is "one billion, nine hundred seventy-two million, two hundred twelve thousand, seven hundred sixty-eight".