72955330560000 has 3360 divisors, whose sum is σ = 335436785868800. Its totient is φ = 15288238080000.

The previous prime is 72955330559989. The next prime is 72955330560011. The reversal of 72955330560000 is 6503355927.

It is a happy number.

72955330560000 is a `hidden beast` number, since 7 + 2 + 9 + 5 + 5 + 3 + 30 + 5 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72955330559989) and next prime (72955330560011).

It is a tau number, because it is divible by the number of its divisors (3360).

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 159 ways as a sum of consecutive naturals, for example, 2353397759985 + ... + 2353397760015.

Almost surely, 2^{72955330560000} is an apocalyptic number.

72955330560000 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 72955330560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167718392934400).

72955330560000 is an abundant number, since it is smaller than the sum of its proper divisors (262481455308800).

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

72955330560000 is an frugal number, since it uses more digits than its factorization.

72955330560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 72955330560000 in words is "seventy-two trillion, nine hundred fifty-five billion, three hundred thirty million, five hundred sixty thousand".