1972032 has 28 divisors (see below), whose sum is σ = 5218176. Its totient is φ = 657280.

The previous prime is 1972031. The next prime is 1972037. The reversal of 1972032 is 2302791.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1971993 and 1972011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4944 + ... + 5327.

2^1972032 is an apocalyptic number.

1972032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1972032 is an abundant number, since it is smaller than the sum of its proper divisors (3246144).

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

1972032 is a wasteful number, since it uses less digits than its factorization.

1972032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10286 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1972032 is about 1404.2905682230. The cubic root of 1972032 is about 125.4020547626.

The spelling of 1972032 in words is "one million, nine hundred seventy-two thousand, thirty-two".