4972032 has 120 divisors (see below), whose sum is σ = 15639624. Its totient is φ = 1511424.

The previous prime is 4972031. The next prime is 4972061. The reversal of 4972032 is 2302794.

It is a super-3 number, since 3×4972032³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4971987 and 4972005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59863 + ... + 59945.

Almost surely, 2^4972032 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 4972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819812).

4972032 is an abundant number, since it is smaller than the sum of its proper divisors (10667592).

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

4972032 is a wasteful number, since it uses less digits than its factorization.

4972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4972032 is about 2229.8053726727. The cubic root of 4972032 is about 170.6781676277.

The spelling of 4972032 in words is "four million, nine hundred seventy-two thousand, thirty-two".