7128600 has 72 divisors (see below), whose sum is σ = 22303260. Its totient is φ = 1883520.

The previous prime is 7128587. The next prime is 7128601. The reversal of 7128600 is 68217.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7128601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65346 + ... + 65454.

Almost surely, 2^7128600 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 7128600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11151630).

7128600 is an abundant number, since it is smaller than the sum of its proper divisors (15174660).

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

7128600 is a wasteful number, since it uses less digits than its factorization.

7128600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 7128600 is about 2669.9438196337. The cubic root of 7128600 is about 192.4574595377.

Multiplying 7128600 by its sum of digits (24), we get a square (171086400 = 13080²).

7128600 divided by its sum of digits (24) gives a square (297025 = 545²).

The spelling of 7128600 in words is "seven million, one hundred twenty-eight thousand, six hundred".