7236768 has 144 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 1858560.

The previous prime is 7236767. The next prime is 7236773. The reversal of 7236768 is 8676327.

It is a super-2 number, since 2×7236768² = 104741622171648, which contains 22 as substring.

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

Its product of digits (84672) is a multiple of the sum of its prime divisors (112).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (7236767) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 81268 + ... + 81356.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 2^7236768 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 7236768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

7236768 is an abundant number, since it is smaller than the sum of its proper divisors (16894752).

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

7236768 is a wasteful number, since it uses less digits than its factorization.

7236768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 7236768 is about 2690.1241607034. The cubic root of 7236768 is about 193.4260144875.

The spelling of 7236768 in words is "seven million, two hundred thirty-six thousand, seven hundred sixty-eight".