7272168960 has 160 divisors (see below), whose sum is σ = 26569585152. Its totient is φ = 1662197760.

The previous prime is 7272168941. The next prime is 7272168961. The reversal of 7272168960 is 698612727.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7272168961) 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, 13876 + ... + 121395.

Almost surely, 2^7272168960 is an apocalyptic number.

7272168960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7272168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284792576).

7272168960 is an abundant number, since it is smaller than the sum of its proper divisors (19297416192).

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

7272168960 is a wasteful number, since it uses less digits than its factorization.

7272168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135304 (or 135288 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 7272168960 is about 85277.0130809001. The cubic root of 7272168960 is about 1937.4090327599.

The spelling of 7272168960 in words is "seven billion, two hundred seventy-two million, one hundred sixty-eight thousand, nine hundred sixty".