72158473350 has 108 divisors (see below), whose sum is σ = 201128509764. Its totient is φ = 19234363680.

The previous prime is 72158473327. The next prime is 72158473357. The reversal of 72158473350 is 5337485127.

72158473350 is a `hidden beast` number, since 7 + 215 + 84 + 7 + 3 + 350 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 72158473296 and 72158473305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72158473357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 29608332 + ... + 29610768.

Almost surely, 2^72158473350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72158473350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100564254882).

72158473350 is an abundant number, since it is smaller than the sum of its proper divisors (128970036414).

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

72158473350 is an frugal number, since it uses more digits than its factorization.

72158473350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 72158473350 in words is "seventy-two billion, one hundred fifty-eight million, four hundred seventy-three thousand, three hundred fifty".