72057234550000 has 480 divisors, whose sum is σ = 203870107478016. Its totient is φ = 24156491520000.

The previous prime is 72057234549967. The next prime is 72057234550109. The reversal of 72057234550000 is 5543275027.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31370148852 + ... + 31370151148.

Almost surely, 2^{72057234550000} is an apocalyptic number.

72057234550000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72057234550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101935053739008).

72057234550000 is an abundant number, since it is smaller than the sum of its proper divisors (131812872928016).

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

72057234550000 is a wasteful number, since it uses less digits than its factorization.

72057234550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 40.

The spelling of 72057234550000 in words is "seventy-two trillion, fifty-seven billion, two hundred thirty-four million, five hundred fifty thousand".