1972159200 has 432 divisors, whose sum is σ = 7803156816. Its totient is φ = 464486400.

The previous prime is 1972159187. The next prime is 1972159201. The reversal of 1972159200 is 29512791.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972159201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2930064 + ... + 2930736.

It is an arithmetic number, because the mean of its divisors is an integer number (18062863).

Almost surely, 2^1972159200 is an apocalyptic number.

1972159200 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 1972159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901578408).

1972159200 is an abundant number, since it is smaller than the sum of its proper divisors (5830997616).

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

1972159200 is a wasteful number, since it uses less digits than its factorization.

1972159200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1972159200 is about 44408.9990880227. Note that the first 3 decimals coincide. The cubic root of 1972159200 is about 1254.0475093223.

The spelling of 1972159200 in words is "one billion, nine hundred seventy-two million, one hundred fifty-nine thousand, two hundred".