7201656 has 128 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 1866240.

The previous prime is 7201651. The next prime is 7201673. The reversal of 7201656 is 6561027.

7201656 is a `hidden beast` number, since 7 + 2 + 0 + 1 + 656 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7201651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16416 + ... + 16848.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 2^7201656 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 7201656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

7201656 is an abundant number, since it is smaller than the sum of its proper divisors (17796744).

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

7201656 is a wasteful number, since it uses less digits than its factorization.

7201656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7201656 is about 2683.5901326395. The cubic root of 7201656 is about 193.1126799568.

The spelling of 7201656 in words is "seven million, two hundred one thousand, six hundred fifty-six".