1972800 has 126 divisors (see below), whose sum is σ = 7062978. Its totient is φ = 522240.

The previous prime is 1972787. The next prime is 1972807. The reversal of 1972800 is 82791.

It can be written as a sum of positive squares in 3 ways, for example, as 166464 + 1806336 = 408^2 + 1344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14332 + ... + 14468.

2^1972800 is an apocalyptic number.

1972800 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 1972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531489).

1972800 is an abundant number, since it is smaller than the sum of its proper divisors (5090178).

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

1972800 is a wasteful number, since it uses less digits than its factorization.

1972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1972800 is about 1404.5639892864. The cubic root of 1972800 is about 125.4183317599.

It can be divided in two parts, 1972 and 800, that added together give a palindrome (2772).

The spelling of 1972800 in words is "one million, nine hundred seventy-two thousand, eight hundred".