7272967968 has 240 divisors, whose sum is σ = 24558012864. Its totient is φ = 2068416000.

The previous prime is 7272967951. The next prime is 7272967969. The reversal of 7272967968 is 8697692727.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (7272967969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4553346 + ... + 4554942.

Almost surely, 2^7272967968 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 7272967968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279006432).

7272967968 is an abundant number, since it is smaller than the sum of its proper divisors (17285044896).

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

7272967968 is a wasteful number, since it uses less digits than its factorization.

7272967968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1860 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The square root of 7272967968 is about 85281.6977316939. The cubic root of 7272967968 is about 1937.4799858522.

The spelling of 7272967968 in words is "seven billion, two hundred seventy-two million, nine hundred sixty-seven thousand, nine hundred sixty-eight".