72772535040 has 288 divisors, whose sum is σ = 242946406080. Its totient is φ = 18540920832.

The previous prime is 72772535021. The next prime is 72772535057. The reversal of 72772535040 is 4053527727.

It is a happy number.

It is a super-2 number, since 2×72772535040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72772534983 and 72772535001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10798552 + ... + 10805288.

It is an arithmetic number, because the mean of its divisors is an integer number (843563910).

Almost surely, 2^72772535040 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 72772535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121473203040).

72772535040 is an abundant number, since it is smaller than the sum of its proper divisors (170173871040).

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

72772535040 is a wasteful number, since it uses less digits than its factorization.

72772535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 42.

The spelling of 72772535040 in words is "seventy-two billion, seven hundred seventy-two million, five hundred thirty-five thousand, forty".