72772633224500 has 192 divisors, whose sum is σ = 180939200053248. Its totient is φ = 25309890320000.

The previous prime is 72772633224491. The next prime is 72772633224503. The reversal of 72772633224500 is 542233627727.

It is a super-2 number, since 2×72772633224500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72772633224503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1930750655 + ... + 1930788345.

It is an arithmetic number, because the mean of its divisors is an integer number (942391666944).

Almost surely, 2^{72772633224500} 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 72772633224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90469600026624).

72772633224500 is an abundant number, since it is smaller than the sum of its proper divisors (108166566828748).

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

72772633224500 is a wasteful number, since it uses less digits than its factorization.

72772633224500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53007 (or 52995 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 50.

The spelling of 72772633224500 in words is "seventy-two trillion, seven hundred seventy-two billion, six hundred thirty-three million, two hundred twenty-four thousand, five hundred".