7201008 has 80 divisors (see below), whose sum is σ = 21030400. Its totient is φ = 2358720.

The previous prime is 7200983. The next prime is 7201031. The reversal of 7201008 is 8001027.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34023 + ... + 34233.

It is an arithmetic number, because the mean of its divisors is an integer number (262880).

Almost surely, 2^7201008 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 7201008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10515200).

7201008 is an abundant number, since it is smaller than the sum of its proper divisors (13829392).

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

7201008 is a wasteful number, since it uses less digits than its factorization.

7201008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7201008 is about 2683.4693961363. The cubic root of 7201008 is about 193.1068877349.

It can be divided in two parts, 720 and 1008, that added together give a cube (1728 = 12³).

The spelling of 7201008 in words is "seven million, two hundred one thousand, eight".