72221777100 has 216 divisors, whose sum is σ = 249403255920. Its totient is φ = 17334720000.

The previous prime is 72221777087. The next prime is 72221777101. The reversal of 72221777100 is 177712227.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (72221777101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 963786 + ... + 1036014.

Almost surely, 2^72221777100 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 72221777100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124701627960).

72221777100 is an abundant number, since it is smaller than the sum of its proper divisors (177181478820).

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

72221777100 is a wasteful number, since it uses less digits than its factorization.

72221777100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72361 (or 72351 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The spelling of 72221777100 in words is "seventy-two billion, two hundred twenty-one million, seven hundred seventy-seven thousand, one hundred".