72185648700 has 288 divisors, whose sum is σ = 236292376320. Its totient is φ = 16853760000.

The previous prime is 72185648681. The next prime is 72185648701. The reversal of 72185648700 is 784658127.

It is a self number, because there is not a number n which added to its sum of digits gives 72185648700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72185648701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54644040 + ... + 54645360.

It is an arithmetic number, because the mean of its divisors is an integer number (820459640).

Almost surely, 2^72185648700 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 72185648700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118146188160).

72185648700 is an abundant number, since it is smaller than the sum of its proper divisors (164106727620).

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

72185648700 is a wasteful number, since it uses less digits than its factorization.

72185648700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 72185648700 in words is "seventy-two billion, one hundred eighty-five million, six hundred forty-eight thousand, seven hundred".