72416105790 has 96 divisors (see below), whose sum is σ = 204445931040. Its totient is φ = 16366242816.

The previous prime is 72416105747. The next prime is 72416105837. The reversal of 72416105790 is 9750161427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145927 + ... + 407586.

It is an arithmetic number, because the mean of its divisors is an integer number (2129645115).

Almost surely, 2^72416105790 is an apocalyptic number.

72416105790 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72416105790 is an abundant number, since it is smaller than the sum of its proper divisors (132029825250).

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

72416105790 is a wasteful number, since it uses less digits than its factorization.

72416105790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553626 (or 553619 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 72416105790 in words is "seventy-two billion, four hundred sixteen million, one hundred five thousand, seven hundred ninety".