72435426 has 64 divisors (see below), whose sum is σ = 172012800. Its totient is φ = 20321280.

The previous prime is 72435401. The next prime is 72435427. The reversal of 72435426 is 62453427.

It is not an unprimeable number, because it can be changed into a prime (72435427) 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 31 ways as a sum of consecutive naturals, for example, 125250 + ... + 125826.

It is an arithmetic number, because the mean of its divisors is an integer number (2687700).

Almost surely, 2^72435426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72435426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86006400).

72435426 is an abundant number, since it is smaller than the sum of its proper divisors (99577374).

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

72435426 is a wasteful number, since it uses less digits than its factorization.

72435426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 72435426 is about 8510.9004223995. The cubic root of 72435426 is about 416.8537117192.

The spelling of 72435426 in words is "seventy-two million, four hundred thirty-five thousand, four hundred twenty-six".