1972056000 has 224 divisors, whose sum is σ = 6573146112. Its totient is φ = 520934400.

The previous prime is 1972055993. The next prime is 1972056029. The reversal of 1972056000 is 6502791.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3047677 + ... + 3048323.

Almost surely, 2^1972056000 is an apocalyptic number.

1972056000 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 1972056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286573056).

1972056000 is an abundant number, since it is smaller than the sum of its proper divisors (4601090112).

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

1972056000 is a wasteful number, since it uses less digits than its factorization.

1972056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 1972056000 is about 44407.8371461615. The cubic root of 1972056000 is about 1254.0256348272.

Adding to 1972056000 its reverse (6502791), we get a palindrome (1978558791).

The spelling of 1972056000 in words is "one billion, nine hundred seventy-two million, fifty-six thousand".