72533111040 has 1152 divisors, whose sum is σ = 302871744000. Its totient is φ = 16275603456.

The previous prime is 72533111033. The next prime is 72533111041. The reversal of 72533111040 is 4011133527.

72533111040 is a `hidden beast` number, since 72 + 533 + 11 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×72533111040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72533110995 and 72533111013.

It is not an unprimeable number, because it can be changed into a prime (72533111041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247553134 + ... + 247553426.

It is an arithmetic number, because the mean of its divisors is an integer number (262909500).

Almost surely, 2^72533111040 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 72533111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151435872000).

72533111040 is an abundant number, since it is smaller than the sum of its proper divisors (230338632960).

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

72533111040 is a wasteful number, since it uses less digits than its factorization.

72533111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 72533111040 its reverse (4011133527), we get a palindrome (76544244567).

The spelling of 72533111040 in words is "seventy-two billion, five hundred thirty-three million, one hundred eleven thousand, forty".