72289257300 has 288 divisors, whose sum is σ = 250846444800. Its totient is φ = 17753541120.

The previous prime is 72289257289. The next prime is 72289257323. The reversal of 72289257300 is 375298227.

72289257300 is a `hidden beast` number, since 72 + 2 + 8 + 9 + 2 + 573 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17091586 + ... + 17095814.

It is an arithmetic number, because the mean of its divisors is an integer number (870994600).

Almost surely, 2^72289257300 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 72289257300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125423222400).

72289257300 is an abundant number, since it is smaller than the sum of its proper divisors (178557187500).

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

72289257300 is a wasteful number, since it uses less digits than its factorization.

72289257300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 72289257300 in words is "seventy-two billion, two hundred eighty-nine million, two hundred fifty-seven thousand, three hundred".