8972208 has 200 divisors, whose sum is σ = 31688448. Its totient is φ = 2395008.

The previous prime is 8972207. The next prime is 8972219. The reversal of 8972208 is 8022798.

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 8⁶ + 9⁵ + 7 + 2⁸ + 2²³ + 0 + 8⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8972203) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 208635 + ... + 208677.

Almost surely, 2^8972208 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 8972208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844224).

8972208 is an abundant number, since it is smaller than the sum of its proper divisors (22716240).

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

8972208 is a wasteful number, since it uses less digits than its factorization.

8972208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8972208 is about 2995.3644185641. The cubic root of 8972208 is about 207.7940515743.

It can be divided in two parts, 8972 and 208, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8972208 in words is "eight million, nine hundred seventy-two thousand, two hundred eight".