7216000 has 128 divisors (see below), whose sum is σ = 20049120. Its totient is φ = 2560000.

The previous prime is 7215979. The next prime is 7216009. The reversal of 7216000 is 6127.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7216009) 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, 175980 + ... + 176020.

Almost surely, 2^7216000 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 7216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560).

7216000 is an abundant number, since it is smaller than the sum of its proper divisors (12833120).

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

7216000 is a wasteful number, since it uses less digits than its factorization.

7216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 7216000 is about 2686.2613424609. The cubic root of 7216000 is about 193.2408065639.

The spelling of 7216000 in words is "seven million, two hundred sixteen thousand".