72013134203064 has 160 divisors (see below), whose sum is σ = 212327578108800. Its totient is φ = 22740116592960.

The previous prime is 72013134203053. The next prime is 72013134203081. The reversal of 72013134203064 is 46030243131027.

72013134203064 is a `hidden beast` number, since 7 + 2 + 0 + 1 + 3 + 1 + 342 + 0 + 306 + 4 = 666.

It is a super-2 number, since 2×72013134203064² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370136899 + ... + 370331405.

It is an arithmetic number, because the mean of its divisors is an integer number (1327047363180).

Almost surely, 2^{72013134203064} 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 72013134203064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106163789054400).

72013134203064 is an abundant number, since it is smaller than the sum of its proper divisors (140314443905736).

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

72013134203064 is a wasteful number, since it uses less digits than its factorization.

72013134203064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224615 (or 224602 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 72013134203064 in words is "seventy-two trillion, thirteen billion, one hundred thirty-four million, two hundred three thousand, sixty-four".