72117619200 has 360 divisors, whose sum is σ = 281556639936. Its totient is φ = 17482752000.

The previous prime is 72117619199. The next prime is 72117619247. The reversal of 72117619200 is 291671127.

It is a happy number.

72117619200 is a `hidden beast` number, since 7 + 2 + 1 + 17 + 619 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1238745 + ... + 1295655.

Almost surely, 2^72117619200 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 72117619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140778319968).

72117619200 is an abundant number, since it is smaller than the sum of its proper divisors (209439020736).

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

72117619200 is a wasteful number, since it uses less digits than its factorization.

72117619200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56956 (or 56932 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 72117619200 in words is "seventy-two billion, one hundred seventeen million, six hundred nineteen thousand, two hundred".