72092819040 has 192 divisors, whose sum is σ = 253780273152. Its totient is φ = 17050726400.

The previous prime is 72092819021. The next prime is 72092819059. The reversal of 72092819040 is 4091829027.

It is an interprime number because it is at equal distance from previous prime (72092819021) and next prime (72092819059).

It is a junction number, because it is equal to n+sod(n) for n = 72092818983 and 72092819001.

It is a congruent number.

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, 49969 + ... + 382991.

It is an arithmetic number, because the mean of its divisors is an integer number (1321772256).

Almost surely, 2^72092819040 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 72092819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126890136576).

72092819040 is an abundant number, since it is smaller than the sum of its proper divisors (181687454112).

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

72092819040 is a wasteful number, since it uses less digits than its factorization.

72092819040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333093 (or 333085 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 72092819040 in words is "seventy-two billion, ninety-two million, eight hundred nineteen thousand, forty".