2972032 has 64 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 1221120.

The previous prime is 2972029. The next prime is 2972033. The reversal of 2972032 is 2302792.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2971988 and 2972006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27723 + ... + 27829.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

2^2972032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525120).

2972032 is an abundant number, since it is smaller than the sum of its proper divisors (4078208).

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

2972032 is a wasteful number, since it uses less digits than its factorization.

2972032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 2972032 is about 1723.9582361531. The cubic root of 2972032 is about 143.7753699394.

The spelling of 2972032 in words is "two million, nine hundred seventy-two thousand, thirty-two".