72318355200 has 1944 divisors, whose sum is σ = 340501154448. Its totient is φ = 15049359360.

The previous prime is 72318355189. The next prime is 72318355201. The reversal of 72318355200 is 255381327.

It is a happy number.

72318355200 is a `hidden beast` number, since 7 + 23 + 1 + 83 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72318355201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 990662364 + ... + 990662436.

Almost surely, 2^72318355200 is an apocalyptic number.

72318355200 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 72318355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170250577224).

72318355200 is an abundant number, since it is smaller than the sum of its proper divisors (268182799248).

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

72318355200 is a wasteful number, since it uses less digits than its factorization.

72318355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

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

The spelling of 72318355200 in words is "seventy-two billion, three hundred eighteen million, three hundred fifty-five thousand, two hundred".