97785072 has 120 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 25395840.

The previous prime is 97785059. The next prime is 97785073. The reversal of 97785072 is 27058779.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97785073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6679 + ... + 15497.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^97785072 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 97785072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

97785072 is an abundant number, since it is smaller than the sum of its proper divisors (243443088).

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

97785072 is a wasteful number, since it uses less digits than its factorization.

97785072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8851 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 97785072 is about 9888.6334748538. The cubic root of 97785072 is about 460.7063376620.

The spelling of 97785072 in words is "ninety-seven million, seven hundred eighty-five thousand, seventy-two".