7241600 has 96 divisors (see below), whose sum is σ = 18719040. Its totient is φ = 2764800.

The previous prime is 7241581. The next prime is 7241617. The reversal of 7241600 is 61427.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99164 + ... + 99236.

It is an arithmetic number, because the mean of its divisors is an integer number (194990).

Almost surely, 2^7241600 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 7241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359520).

7241600 is an abundant number, since it is smaller than the sum of its proper divisors (11477440).

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

7241600 is a wasteful number, since it uses less digits than its factorization.

7241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 7241600 is about 2691.0221106487. The cubic root of 7241600 is about 193.4690551819.

The spelling of 7241600 in words is "seven million, two hundred forty-one thousand, six hundred".