7197120 has 336 divisors, whose sum is σ = 31272480. Its totient is φ = 1548288.

The previous prime is 7197119. The next prime is 7197131. The reversal of 7197120 is 217917.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 423352 + ... + 423368.

Almost surely, 2^7197120 is an apocalyptic number.

7197120 is a gapful number since it is divisible by the number (70) 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 7197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636240).

7197120 is an abundant number, since it is smaller than the sum of its proper divisors (24075360).

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

7197120 is a wasteful number, since it uses less digits than its factorization.

7197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 7197120 is about 2682.7448630088. The cubic root of 7197120 is about 193.0721271039.

The spelling of 7197120 in words is "seven million, one hundred ninety-seven thousand, one hundred twenty".