97002720 has 288 divisors, whose sum is σ = 356638464. Its totient is φ = 23961600.

The previous prime is 97002683. The next prime is 97002721. The reversal of 97002720 is 2720079.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97002721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1830214 + ... + 1830266.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 2^97002720 is an apocalyptic number.

97002720 is a gapful number since it is divisible by the number (90) 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 97002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

97002720 is an abundant number, since it is smaller than the sum of its proper divisors (259635744).

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

97002720 is a wasteful number, since it uses less digits than its factorization.

97002720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 97002720 is about 9848.9958879065. The cubic root of 97002720 is about 459.4743838838.

Adding to 97002720 its reverse (2720079), we get a palindrome (99722799).

The spelling of 97002720 in words is "ninety-seven million, two thousand, seven hundred twenty".