7267120 has 80 divisors (see below), whose sum is σ = 20355840. Its totient is φ = 2356992.

The previous prime is 7267111. The next prime is 7267121. The reversal of 7267120 is 217627.

7267120 = T₁₅₁ + T₁₅₂ + ... + T₃₆₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7267120² = 105622066188800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7267121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10299 + ... + 10981.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 2^7267120 is an apocalyptic number.

7267120 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 7267120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

7267120 is an abundant number, since it is smaller than the sum of its proper divisors (13088720).

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

7267120 is a wasteful number, since it uses less digits than its factorization.

7267120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 7267120 is about 2695.7596332017. The cubic root of 7267120 is about 193.6960557418.

The spelling of 7267120 in words is "seven million, two hundred sixty-seven thousand, one hundred twenty".