72955121040 has 160 divisors (see below), whose sum is σ = 251377482240. Its totient is φ = 19447916544.

The previous prime is 72955121039. The next prime is 72955121059. The reversal of 72955121040 is 4012155927.

72955121040 is a `hidden beast` number, since 7 + 2 + 95 + 512 + 10 + 40 = 666.

It is a super-2 number, since 2×72955121040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72955120986 and 72955121004.

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 31 ways as a sum of consecutive naturals, for example, 10673464 + ... + 10680296.

It is an arithmetic number, because the mean of its divisors is an integer number (1571109264).

Almost surely, 2^72955121040 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 72955121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125688741120).

72955121040 is an abundant number, since it is smaller than the sum of its proper divisors (178422361200).

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

72955121040 is a wasteful number, since it uses less digits than its factorization.

72955121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11798 (or 11786 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 72955121040 its reverse (4012155927), we get a palindrome (76967276967).

The spelling of 72955121040 in words is "seventy-two billion, nine hundred fifty-five million, one hundred twenty-one thousand, forty".