72469104120 has 96 divisors (see below), whose sum is σ = 269170967520. Its totient is φ = 16564366080.

The previous prime is 72469104119. The next prime is 72469104121. The reversal of 72469104120 is 2140196427.

It is a happy number.

72469104120 is a `hidden beast` number, since 72 + 469 + 1 + 0 + 4 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (72469104119) and next prime (72469104121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72469104121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14376271 + ... + 14381310.

It is an arithmetic number, because the mean of its divisors is an integer number (2803864245).

Almost surely, 2^72469104120 is an apocalyptic number.

72469104120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72469104120 is an abundant number, since it is smaller than the sum of its proper divisors (196701863400).

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

72469104120 is a wasteful number, since it uses less digits than its factorization.

72469104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28757605 (or 28757598 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 72469104120 in words is "seventy-two billion, four hundred sixty-nine million, one hundred four thousand, one hundred twenty".