72033886118376 has 512 divisors, whose sum is σ = 262809501696000. Its totient is φ = 17739620462592.

The previous prime is 72033886118357. The next prime is 72033886118401. The reversal of 72033886118376 is 67381168833027.

72033886118376 is a `hidden beast` number, since 7 + 2 + 0 + 3 + 3 + 8 + 8 + 611 + 8 + 3 + 7 + 6 = 666.

It is a super-3 number, since 3×72033886118376³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41588595 + ... + 43286013.

It is an arithmetic number, because the mean of its divisors is an integer number (513299808000).

Almost surely, 2^{72033886118376} 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 72033886118376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131404750848000).

72033886118376 is an abundant number, since it is smaller than the sum of its proper divisors (190775615577624).

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

72033886118376 is a wasteful number, since it uses less digits than its factorization.

72033886118376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697598 (or 1697588 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 72033886118376 in words is "seventy-two trillion, thirty-three billion, eight hundred eighty-six million, one hundred eighteen thousand, three hundred seventy-six".