72378954768 has 160 divisors (see below), whose sum is σ = 201665842560. Its totient is φ = 22298664960.

The previous prime is 72378954761. The next prime is 72378954799. The reversal of 72378954768 is 86745987327.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72378954699 and 72378954708.

It is not an unprimeable number, because it can be changed into a prime (72378954761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8744680 + ... + 8752952.

It is an arithmetic number, because the mean of its divisors is an integer number (1260411516).

Almost surely, 2^72378954768 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 72378954768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100832921280).

72378954768 is an abundant number, since it is smaller than the sum of its proper divisors (129286887792).

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

72378954768 is a wasteful number, since it uses less digits than its factorization.

72378954768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8537 (or 8531 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 66.

The spelling of 72378954768 in words is "seventy-two billion, three hundred seventy-eight million, nine hundred fifty-four thousand, seven hundred sixty-eight".