72033001202016 has 288 divisors, whose sum is σ = 213864430066560. Its totient is φ = 23849486429184.

The previous prime is 72033001202011. The next prime is 72033001202027. The reversal of 72033001202016 is 61020210033027.

72033001202016 is a `hidden beast` number, since 7 + 2 + 0 + 330 + 0 + 120 + 201 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (72033001202011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688738015 + ... + 688842593.

It is an arithmetic number, because the mean of its divisors is an integer number (742584826620).

Almost surely, 2^{72033001202016} 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 72033001202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106932215033280).

72033001202016 is an abundant number, since it is smaller than the sum of its proper divisors (141831428864544).

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

72033001202016 is a wasteful number, since it uses less digits than its factorization.

72033001202016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105200 (or 105180 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 72033001202016 in words is "seventy-two trillion, thirty-three billion, one million, two hundred two thousand, sixteen".