97752096 has 144 divisors (see below), whose sum is σ = 310774464. Its totient is φ = 30046464.

The previous prime is 97752089. The next prime is 97752133. The reversal of 97752096 is 69025779.

It is a tau number, because it is divible by the number of its divisors (144).

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, 100605 + ... + 101571.

It is an arithmetic number, because the mean of its divisors is an integer number (2158156).

Almost surely, 2^97752096 is an apocalyptic number.

97752096 is a gapful number since it is divisible by the number (96) 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 97752096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155387232).

97752096 is an abundant number, since it is smaller than the sum of its proper divisors (213022368).

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

97752096 is a wasteful number, since it uses less digits than its factorization.

97752096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 97752096 is about 9886.9659653505. The cubic root of 97752096 is about 460.6545439339.

The spelling of 97752096 in words is "ninety-seven million, seven hundred fifty-two thousand, ninety-six".