97299072 has 192 divisors, whose sum is σ = 309090600. Its totient is φ = 29196288.

The previous prime is 97299001. The next prime is 97299073. The reversal of 97299072 is 27099279.

It can be written as a sum of positive squares in 4 ways, for example, as 54997056 + 42302016 = 7416^2 + 6504^2 .

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

It is a super-2 number, since 2×97299072² = 18934218824122368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97299073) 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 23 ways as a sum of consecutive naturals, for example, 1093204 + ... + 1093292.

Almost surely, 2^97299072 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 97299072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154545300).

97299072 is an abundant number, since it is smaller than the sum of its proper divisors (211791528).

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

97299072 is a wasteful number, since it uses less digits than its factorization.

97299072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 97299072 is about 9864.0291970371. The cubic root of 97299072 is about 459.9418199890.

The spelling of 97299072 in words is "ninety-seven million, two hundred ninety-nine thousand, seventy-two".