8972532 has 84 divisors (see below), whose sum is σ = 25064676. Its totient is φ = 2799360.

The previous prime is 8972501. The next prime is 8972567. The reversal of 8972532 is 2352798.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2802276 + 6170256 = 1674^2 + 2484^2 .

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

It is a d-powerful number, because it can be written as 8⁵ + 9⁶ + 7 + 2²² + 5² + 3⁹ + 2²² .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 49482 + ... + 49662.

It is an arithmetic number, because the mean of its divisors is an integer number (298389).

Almost surely, 2^8972532 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 8972532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12532338).

8972532 is an abundant number, since it is smaller than the sum of its proper divisors (16092144).

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

8972532 is a wasteful number, since it uses less digits than its factorization.

8972532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

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

The square root of 8972532 is about 2995.4185016455. The cubic root of 8972532 is about 207.7965527967.

The spelling of 8972532 in words is "eight million, nine hundred seventy-two thousand, five hundred thirty-two".