7672896 has 168 divisors, whose sum is σ = 27578304. Its totient is φ = 1981440.

The previous prime is 7672883. The next prime is 7672901. The reversal of 7672896 is 6982767.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (254016) is a multiple of the sum of its prime divisors (196).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44266 + ... + 44438.

Almost surely, 2^7672896 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 7672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789152).

7672896 is an abundant number, since it is smaller than the sum of its proper divisors (19905408).

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

7672896 is a wasteful number, since it uses less digits than its factorization.

7672896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 7672896 is about 2769.9992779782. Note that the first 3 decimals coincide. The cubic root of 7672896 is about 197.2361139487.

It can be divided in two parts, 767 and 2896, that added together give a palindrome (3663).

The spelling of 7672896 in words is "seven million, six hundred seventy-two thousand, eight hundred ninety-six".