1971972 has 72 divisors (see below), whose sum is σ = 5560800. Its totient is φ = 602640.

The previous prime is 1971967. The next prime is 1972007. The reversal of 1971972 is 2791791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63597 + ... + 63627.

2^1971972 is an apocalyptic number.

1971972 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 1971972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780400).

1971972 is an abundant number, since it is smaller than the sum of its proper divisors (3588828).

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

1971972 is a wasteful number, since it uses less digits than its factorization.

1971972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 55 counting only the distinct ones).

The product of its digits is 7938, while the sum is 36.

The square root of 1971972 is about 1404.2692049604. The cubic root of 1971972 is about 125.4007829442.

It can be divided in two parts, 19719 and 72, that added together give a palindrome (19791).

The spelling of 1971972 in words is "one million, nine hundred seventy-one thousand, nine hundred seventy-two".