1971972000 has 576 divisors, whose sum is σ = 7807363200. Its totient is φ = 482112000.

The previous prime is 1971971983. The next prime is 1971972043. The reversal of 1971972000 is 2791791.

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

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, 63611985 + ... + 63612015.

It is an arithmetic number, because the mean of its divisors is an integer number (13554450).

Almost surely, 2^1971972000 is an apocalyptic number.

1971972000 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 1971972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903681600).

1971972000 is an abundant number, since it is smaller than the sum of its proper divisors (5835391200).

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

1971972000 is a wasteful number, since it uses less digits than its factorization.

1971972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 1971972000 is about 44406.8913570856. The cubic root of 1971972000 is about 1254.0078294422.

It can be divided in two parts, 19719 and 72000, that added together give a palindrome (91719).

The spelling of 1971972000 in words is "one billion, nine hundred seventy-one million, nine hundred seventy-two thousand".