72133057854 has 288 divisors, whose sum is σ = 192087159264. Its totient is φ = 19445184000.

The previous prime is 72133057849. The next prime is 72133057873. The reversal of 72133057854 is 45875033127.

72133057854 is a `hidden beast` number, since 7 + 21 + 3 + 3 + 0 + 578 + 54 = 666.

It is a super-2 number, since 2×72133057854² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 299307174 + ... + 299307414.

It is an arithmetic number, because the mean of its divisors is an integer number (666969303).

Almost surely, 2^72133057854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72133057854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96043579632).

72133057854 is an abundant number, since it is smaller than the sum of its proper divisors (119954101410).

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

72133057854 is a wasteful number, since it uses less digits than its factorization.

72133057854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 72133057854 in words is "seventy-two billion, one hundred thirty-three million, fifty-seven thousand, eight hundred fifty-four".