7872000 has 160 divisors (see below), whose sum is σ = 26810784. Its totient is φ = 2048000.

The previous prime is 7871993. The next prime is 7872001. The reversal of 7872000 is 2787.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7872001) 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, 191980 + ... + 192020.

Almost surely, 2^7872000 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 7872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392).

7872000 is an abundant number, since it is smaller than the sum of its proper divisors (18938784).

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

7872000 is an equidigital number, since it uses as much as digits as its factorization.

7872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 7872000 is about 2805.7084666800. The cubic root of 7872000 is about 198.9275933307.

Adding to 7872000 its reverse (2787), we get a palindrome (7874787).

The spelling of 7872000 in words is "seven million, eight hundred seventy-two thousand".