72705600000 has 1440 divisors, whose sum is σ = 314168766912. Its totient is φ = 16588800000.

The previous prime is 72705599959. The next prime is 72705600007. The reversal of 72705600000 is 650727.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×72705600000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72705600007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4276799992 + ... + 4276800008.

Almost surely, 2^72705600000 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 72705600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157084383456).

72705600000 is an abundant number, since it is smaller than the sum of its proper divisors (241463166912).

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

72705600000 is an frugal number, since it uses more digits than its factorization.

72705600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 72705600000 in words is "seventy-two billion, seven hundred five million, six hundred thousand".