997572672 has 140 divisors (see below), whose sum is σ = 2975051200. Its totient is φ = 330511104.

The previous prime is 997572661. The next prime is 997572673. The reversal of 997572672 is 276275799.

997572672 is a `hidden beast` number, since 9 + 9 + 7 + 572 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (997572673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1031133 + ... + 1032099.

Almost surely, 2^997572672 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 997572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487525600).

997572672 is an abundant number, since it is smaller than the sum of its proper divisors (1977478528).

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

997572672 is a wasteful number, since it uses less digits than its factorization.

997572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1171 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The square root of 997572672 is about 31584.3738579697. The cubic root of 997572672 is about 999.1902351245.

The spelling of 997572672 in words is "nine hundred ninety-seven million, five hundred seventy-two thousand, six hundred seventy-two".