72277107700 has 144 divisors (see below), whose sum is σ = 189407877120. Its totient is φ = 23386078080.

The previous prime is 72277107677. The next prime is 72277107703. The reversal of 72277107700 is 770177227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72277107703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3487569 + ... + 3508231.

It is an arithmetic number, because the mean of its divisors is an integer number (1315332480).

Almost surely, 2^72277107700 is an apocalyptic number.

72277107700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72277107700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94703938560).

72277107700 is an abundant number, since it is smaller than the sum of its proper divisors (117130769420).

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

72277107700 is a wasteful number, since it uses less digits than its factorization.

72277107700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20966 (or 20959 counting only the distinct ones).

The product of its (nonzero) digits is 67228, while the sum is 40.

The spelling of 72277107700 in words is "seventy-two billion, two hundred seventy-seven million, one hundred seven thousand, seven hundred".