72413461133 has 32 divisors (see below), whose sum is σ = 81493848576. Its totient is φ = 63917572608.

The previous prime is 72413461123. The next prime is 72413461163. The reversal of 72413461133 is 33116431427.

It is a cyclic number.

It is not a de Polignac number, because 72413461133 - 2¹² = 72413457037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72413461093 and 72413461102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72413461123) by changing a digit.

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, 4764935 + ... + 4780107.

It is an arithmetic number, because the mean of its divisors is an integer number (2546682768).

Almost surely, 2^72413461133 is an apocalyptic number.

72413461133 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

72413461133 is a deficient number, since it is larger than the sum of its proper divisors (9080387443).

72413461133 is a wasteful number, since it uses less digits than its factorization.

72413461133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413.

The product of its digits is 36288, while the sum is 35.

The spelling of 72413461133 in words is "seventy-two billion, four hundred thirteen million, four hundred sixty-one thousand, one hundred thirty-three".