72741600 has 108 divisors (see below), whose sum is σ = 256530456. Its totient is φ = 19395840.

The previous prime is 72741577. The next prime is 72741601. The reversal of 72741600 is 614727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72741601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2149 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (2375282).

Almost surely, 2^72741600 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 72741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128265228).

72741600 is an abundant number, since it is smaller than the sum of its proper divisors (183788856).

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

72741600 is a wasteful number, since it uses less digits than its factorization.

72741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72741600 is about 8528.8686236804. The cubic root of 72741600 is about 417.4402127924.

The spelling of 72741600 in words is "seventy-two million, seven hundred forty-one thousand, six hundred".