3972528 has 90 divisors (see below), whose sum is σ = 12955644. Its totient is φ = 1132992.

The previous prime is 3972523. The next prime is 3972533. The reversal of 3972528 is 8252793.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3972523) and next prime (3972533).

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

It is a junction number, because it is equal to n+sod(n) for n = 3972492 and 3972501.

It is not an unprimeable number, because it can be changed into a prime (3972523) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6775 + ... + 7337.

Almost surely, 2^3972528 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 3972528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477822).

3972528 is an abundant number, since it is smaller than the sum of its proper divisors (8983116).

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

3972528 is a wasteful number, since it uses less digits than its factorization.

3972528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 575 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3972528 is about 1993.1201669744. The cubic root of 3972528 is about 158.3758610293.

The spelling of 3972528 in words is "three million, nine hundred seventy-two thousand, five hundred twenty-eight".