97072512 has 128 divisors (see below), whose sum is σ = 279072000. Its totient is φ = 29804544.

The previous prime is 97072487. The next prime is 97072519. The reversal of 97072512 is 21527079.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97072519) 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 15 ways as a sum of consecutive naturals, for example, 255939 + ... + 256317.

It is an arithmetic number, because the mean of its divisors is an integer number (2180250).

Almost surely, 2^97072512 is an apocalyptic number.

97072512 is a gapful number since it is divisible by the number (92) 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 97072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139536000).

97072512 is an abundant number, since it is smaller than the sum of its proper divisors (181999488).

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

97072512 is a wasteful number, since it uses less digits than its factorization.

97072512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 97072512 is about 9852.5383531352. The cubic root of 97072512 is about 459.5845524390.

The spelling of 97072512 in words is "ninety-seven million, seventy-two thousand, five hundred twelve".