1972120 has 32 divisors (see below), whose sum is σ = 4536000. Its totient is φ = 771328.

The previous prime is 1972111. The next prime is 1972121. The reversal of 1972120 is 212791.

It is a junction number, because it is equal to n+sod(n) for n = 1972091 and 1972100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1356 + ... + 2404.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

2^1972120 is an apocalyptic number.

1972120 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 1972120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268000).

1972120 is an abundant number, since it is smaller than the sum of its proper divisors (2563880).

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

1972120 is a wasteful number, since it uses less digits than its factorization.

1972120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1972120 is about 1404.3219004203. The cubic root of 1972120 is about 125.4039200495.

The spelling of 1972120 in words is "one million, nine hundred seventy-two thousand, one hundred twenty".