72533103734520 has 192 divisors, whose sum is σ = 276944578092000. Its totient is φ = 16231184040960.

The previous prime is 72533103734437. The next prime is 72533103734537. The reversal of 72533103734520 is 2543730133527.

72533103734520 is a `hidden beast` number, since 7 + 2 + 53 + 3 + 1 + 0 + 3 + 73 + 4 + 520 = 666.

It is a super-3 number, since 3×72533103734520³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 704426995 + ... + 704529954.

Almost surely, 2^{72533103734520} is an apocalyptic number.

It is an amenable number.

72533103734520 is an abundant number, since it is smaller than the sum of its proper divisors (204411474357480).

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

72533103734520 is a wasteful number, since it uses less digits than its factorization.

72533103734520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408956990 (or 1408956983 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 45.

The spelling of 72533103734520 in words is "seventy-two trillion, five hundred thirty-three billion, one hundred three million, seven hundred thirty-four thousand, five hundred twenty".