72343756800 has 1260 divisors, whose sum is σ = 315252007290. Its totient is φ = 16349921280.

The previous prime is 72343756799. The next prime is 72343756811. The reversal of 72343756800 is 865734327.

It can be written as a sum of positive squares in 3 ways, for example, as 42284519424 + 30059237376 = 205632^2 + 173376^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 812851156 + ... + 812851244.

Almost surely, 2^72343756800 is an apocalyptic number.

72343756800 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 72343756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157626003645).

72343756800 is an abundant number, since it is smaller than the sum of its proper divisors (242908250490).

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

72343756800 is an equidigital number, since it uses as much as digits as its factorization.

72343756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 72343756800 in words is "seventy-two billion, three hundred forty-three million, seven hundred fifty-six thousand, eight hundred".