97672320 has 192 divisors, whose sum is σ = 348791040. Its totient is φ = 25159680.

The previous prime is 97672303. The next prime is 97672339. The reversal of 97672320 is 2327679.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 178287 + ... + 178833.

It is an arithmetic number, because the mean of its divisors is an integer number (1816620).

Almost surely, 2^97672320 is an apocalyptic number.

97672320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174395520).

97672320 is an abundant number, since it is smaller than the sum of its proper divisors (251118720).

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

97672320 is a wasteful number, since it uses less digits than its factorization.

97672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 97672320 is about 9882.9307394113. The cubic root of 97672320 is about 460.5291956294.

Adding to 97672320 its reverse (2327679), we get a palindrome (99999999).

The spelling of 97672320 in words is "ninety-seven million, six hundred seventy-two thousand, three hundred twenty".