7728072 has 64 divisors (see below), whose sum is σ = 21418560. Its totient is φ = 2304000.

The previous prime is 7728067. The next prime is 7728103. The reversal of 7728072 is 2708277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 19072 + ... + 19472.

It is an arithmetic number, because the mean of its divisors is an integer number (334665).

Almost surely, 2^7728072 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 7728072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10709280).

7728072 is an abundant number, since it is smaller than the sum of its proper divisors (13690488).

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

7728072 is a wasteful number, since it uses less digits than its factorization.

7728072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 7728072 is about 2779.9410065683. The cubic root of 7728072 is about 197.7077619250.

The spelling of 7728072 in words is "seven million, seven hundred twenty-eight thousand, seventy-two".