1972512 has 60 divisors (see below), whose sum is σ = 5808726. Its totient is φ = 656640.

The previous prime is 1972511. The next prime is 1972541. The reversal of 1972512 is 2152791.

It can be written as a sum of positive squares in only one way, i.e., 1971216 + 1296 = 1404^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1972511) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2212 + ... + 2972.

2^1972512 is an apocalyptic number.

1972512 is a gapful number since it is divisible by the number (12) 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 1972512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904363).

1972512 is an abundant number, since it is smaller than the sum of its proper divisors (3836214).

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

1972512 is an equidigital number, since it uses as much as digits as its factorization.

1972512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 1972512 is about 1404.4614626254. The cubic root of 1972512 is about 125.4122283810.

The spelling of 1972512 in words is "one million, nine hundred seventy-two thousand, five hundred twelve".