72926671680 has 336 divisors, whose sum is σ = 268527727104. Its totient is φ = 18819164160.

The previous prime is 72926671679. The next prime is 72926671703. The reversal of 72926671680 is 8617662927.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2395434 + ... + 2425686.

It is an arithmetic number, because the mean of its divisors is an integer number (799189664).

Almost surely, 2^72926671680 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 72926671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134263863552).

72926671680 is an abundant number, since it is smaller than the sum of its proper divisors (195601055424).

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

72926671680 is a wasteful number, since it uses less digits than its factorization.

72926671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30316 (or 30294 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 72926671680 in words is "seventy-two billion, nine hundred twenty-six million, six hundred seventy-one thousand, six hundred eighty".