72604892052 has 864 divisors, whose sum is σ = 262409871360. Its totient is φ = 17006112000.

The previous prime is 72604892047. The next prime is 72604892053. The reversal of 72604892052 is 25029840627.

It is a junction number, because it is equal to n+sod(n) for n = 72604891989 and 72604892007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72604892053) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1190244102 + ... + 1190244162.

Almost surely, 2^72604892052 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 72604892052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131204935680).

72604892052 is an abundant number, since it is smaller than the sum of its proper divisors (189804979308).

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

72604892052 is a wasteful number, since it uses less digits than its factorization.

72604892052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 72604892052 in words is "seventy-two billion, six hundred four million, eight hundred ninety-two thousand, fifty-two".