7721736 has 48 divisors (see below), whose sum is σ = 21226800. Its totient is φ = 2339040.

The previous prime is 7721717. The next prime is 7721761. The reversal of 7721736 is 6371277.

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

It is a junction number, because it is equal to n+sod(n) for n = 7721697 and 7721706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1575 + ... + 4233.

It is an arithmetic number, because the mean of its divisors is an integer number (442225).

Almost surely, 2^7721736 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 7721736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10613400).

7721736 is an abundant number, since it is smaller than the sum of its proper divisors (13505064).

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

7721736 is a wasteful number, since it uses less digits than its factorization.

7721736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2675 counting only the distinct ones).

The product of its digits is 12348, while the sum is 33.

The square root of 7721736 is about 2778.8011803654. The cubic root of 7721736 is about 197.6537157205.

The spelling of 7721736 in words is "seven million, seven hundred twenty-one thousand, seven hundred thirty-six".