72633578296608 has 240 divisors, whose sum is σ = 244144934599104. Its totient is φ = 20751141219840.

The previous prime is 72633578296529. The next prime is 72633578296619. The reversal of 72633578296608 is 80669287533627.

72633578296608 is a `hidden beast` number, since 7 + 2 + 6 + 3 + 3 + 5 + 7 + 8 + 2 + 9 + 6 + 608 = 666.

72633578296608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308094298 + ... + 308329958.

Almost surely, 2^{72633578296608} 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 72633578296608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122072467299552).

72633578296608 is an abundant number, since it is smaller than the sum of its proper divisors (171511356302496).

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

72633578296608 is a wasteful number, since it uses less digits than its factorization.

72633578296608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252677 (or 252660 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 72633578296608 in words is "seventy-two trillion, six hundred thirty-three billion, five hundred seventy-eight million, two hundred ninety-six thousand, six hundred eight".