72202554900 has 288 divisors, whose sum is σ = 268479482880. Its totient is φ = 16304250240.

The previous prime is 72202554847. The next prime is 72202554923. The reversal of 72202554900 is 945520227.

It is a happy number.

72202554900 is a `hidden beast` number, since 72 + 20 + 25 + 549 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1545687 + ... + 1591713.

Almost surely, 2^72202554900 is an apocalyptic number.

72202554900 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 72202554900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134239741440).

72202554900 is an abundant number, since it is smaller than the sum of its proper divisors (196276927980).

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

72202554900 is a wasteful number, since it uses less digits than its factorization.

72202554900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46140 (or 46127 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 72202554900 in words is "seventy-two billion, two hundred two million, five hundred fifty-four thousand, nine hundred".