72135474750 has 128 divisors (see below), whose sum is σ = 201497587200. Its totient is φ = 19097488800.

The previous prime is 72135474739. The next prime is 72135474779. The reversal of 72135474750 is 5747453127.

72135474750 is a `hidden beast` number, since 7 + 2 + 13 + 547 + 47 + 50 = 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 = 72135474696 and 72135474705.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 899809 + ... + 976691.

It is an arithmetic number, because the mean of its divisors is an integer number (1574199900).

Almost surely, 2^72135474750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72135474750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100748793600).

72135474750 is an abundant number, since it is smaller than the sum of its proper divisors (129362112450).

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

72135474750 is a wasteful number, since it uses less digits than its factorization.

72135474750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77048 (or 77032 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 72135474750 in words is "seventy-two billion, one hundred thirty-five million, four hundred seventy-four thousand, seven hundred fifty".