97020072 has 128 divisors (see below), whose sum is σ = 286848000. Its totient is φ = 30317760.

The previous prime is 97020059. The next prime is 97020089. The reversal of 97020072 is 27002079.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 292947 + ... + 293277.

It is an arithmetic number, because the mean of its divisors is an integer number (2241000).

Almost surely, 2^97020072 is an apocalyptic number.

97020072 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 97020072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143424000).

97020072 is an abundant number, since it is smaller than the sum of its proper divisors (189827928).

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

97020072 is a wasteful number, since it uses less digits than its factorization.

97020072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

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

The square root of 97020072 is about 9849.8767504979. The cubic root of 97020072 is about 459.5017794186.

The spelling of 97020072 in words is "ninety-seven million, twenty thousand, seventy-two".