72690673104 has 320 divisors, whose sum is σ = 251641036800. Its totient is φ = 19640890368.

The previous prime is 72690673093. The next prime is 72690673163. The reversal of 72690673104 is 40137609627.

It is a self number, because there is not a number n which added to its sum of digits gives 72690673104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6184257 + ... + 6195999.

It is an arithmetic number, because the mean of its divisors is an integer number (786378240).

Almost surely, 2^72690673104 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 72690673104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125820518400).

72690673104 is an abundant number, since it is smaller than the sum of its proper divisors (178950363696).

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

72690673104 is a wasteful number, since it uses less digits than its factorization.

72690673104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11879 (or 11867 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 72690673104 in words is "seventy-two billion, six hundred ninety million, six hundred seventy-three thousand, one hundred four".