72735234 has 48 divisors (see below), whose sum is σ = 171867744. Its totient is φ = 20342400.

The previous prime is 72735233. The next prime is 72735263. The reversal of 72735234 is 43253727.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72735195 and 72735204.

It is not an unprimeable number, because it can be changed into a prime (72735233) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7894 + ... + 14414.

It is an arithmetic number, because the mean of its divisors is an integer number (3580578).

Almost surely, 2^72735234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72735234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85933872).

72735234 is an abundant number, since it is smaller than the sum of its proper divisors (99132510).

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

72735234 is a wasteful number, since it uses less digits than its factorization.

72735234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563 (or 6550 counting only the distinct ones).

The product of its digits is 35280, while the sum is 33.

The square root of 72735234 is about 8528.4954124394. The cubic root of 72735234 is about 417.4280349743.

The spelling of 72735234 in words is "seventy-two million, seven hundred thirty-five thousand, two hundred thirty-four".