1972500 has 60 divisors (see below), whose sum is σ = 5773152. Its totient is φ = 524000.

The previous prime is 1972483. The next prime is 1972511. The reversal of 1972500 is 52791.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7369 + ... + 7631.

2^1972500 is an apocalyptic number.

1972500 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 1972500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886576).

1972500 is an abundant number, since it is smaller than the sum of its proper divisors (3800652).

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

1972500 is a wasteful number, since it uses less digits than its factorization.

1972500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 1972500 is about 1404.4571905188. The cubic root of 1972500 is about 125.4119740607.

The spelling of 1972500 in words is "one million, nine hundred seventy-two thousand, five hundred".