72738418903920 has 1280 divisors, whose sum is σ = 332961974784000. Its totient is φ = 14129835540480.

The previous prime is 72738418903919. The next prime is 72738418903921. The reversal of 72738418903920 is 2930981483727.

72738418903920 is a `hidden beast` number, since 7 + 2 + 73 + 84 + 18 + 90 + 392 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72738418903919) and next prime (72738418903921).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72738418903921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 421202232 + ... + 421374888.

It is an arithmetic number, because the mean of its divisors is an integer number (260126542800).

Almost surely, 2^{72738418903920} is an apocalyptic number.

72738418903920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72738418903920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166480987392000).

72738418903920 is an abundant number, since it is smaller than the sum of its proper divisors (260223555880080).

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

72738418903920 is a wasteful number, since it uses less digits than its factorization.

72738418903920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172863 (or 172851 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 72738418903920 in words is "seventy-two trillion, seven hundred thirty-eight billion, four hundred eighteen million, nine hundred three thousand, nine hundred twenty".