72340128 has 168 divisors, whose sum is σ = 244587168. Its totient is φ = 20621952.

The previous prime is 72340127. The next prime is 72340141. The reversal of 72340128 is 82104327.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×72340128³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72340127) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 163075 + ... + 163517.

It is an arithmetic number, because the mean of its divisors is an integer number (1455876).

Almost surely, 2^72340128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72340128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122293584).

72340128 is an abundant number, since it is smaller than the sum of its proper divisors (172247040).

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

72340128 is an equidigital number, since it uses as much as digits as its factorization.

72340128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72340128 is about 8505.2999947092. The cubic root of 72340128 is about 416.6708234963.

The spelling of 72340128 in words is "seventy-two million, three hundred forty thousand, one hundred twenty-eight".