72190051200 has 1152 divisors, whose sum is σ = 291701329920. Its totient is φ = 17557585920.

The previous prime is 72190051189. The next prime is 72190051207. The reversal of 72190051200 is 215009127.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×72190051200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72190051207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 568425537 + ... + 568425663.

It is an arithmetic number, because the mean of its divisors is an integer number (253212960).

Almost surely, 2^72190051200 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 72190051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145850664960).

72190051200 is an abundant number, since it is smaller than the sum of its proper divisors (219511278720).

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

72190051200 is a wasteful number, since it uses less digits than its factorization.

72190051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 72190051200 in words is "seventy-two billion, one hundred ninety million, fifty-one thousand, two hundred".