97072800 has 144 divisors (see below), whose sum is σ = 344790432. Its totient is φ = 23526400.

The previous prime is 97072799. The next prime is 97072819. The reversal of 97072800 is 827079.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24562 + ... + 28238.

It is an arithmetic number, because the mean of its divisors is an integer number (2394378).

Almost surely, 2^97072800 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 97072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172395216).

97072800 is an abundant number, since it is smaller than the sum of its proper divisors (247717632).

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

97072800 is a wasteful number, since it uses less digits than its factorization.

97072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 97072800 is about 9852.5529686473. The cubic root of 97072800 is about 459.5850069454.

Adding to 97072800 its reverse (827079), we get a palindrome (97899879).

The spelling of 97072800 in words is "ninety-seven million, seventy-two thousand, eight hundred".