72175871040 has 672 divisors, whose sum is σ = 289601452800. Its totient is φ = 15216574464.

The previous prime is 72175870951. The next prime is 72175871063. The reversal of 72175871040 is 4017857127.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 72175870983 and 72175871001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55647672 + ... + 55648968.

Almost surely, 2^72175871040 is an apocalyptic number.

72175871040 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 72175871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144800726400).

72175871040 is an abundant number, since it is smaller than the sum of its proper divisors (217425581760).

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

72175871040 is a wasteful number, since it uses less digits than its factorization.

72175871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 42.

The spelling of 72175871040 in words is "seventy-two billion, one hundred seventy-five million, eight hundred seventy-one thousand, forty".