72435096 has 192 divisors, whose sum is σ = 226437120. Its totient is φ = 20782080.

The previous prime is 72435089. The next prime is 72435109. The reversal of 72435096 is 69053427.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72435096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872671 + ... + 872753.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^72435096 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 72435096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

72435096 is an abundant number, since it is smaller than the sum of its proper divisors (154002024).

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

72435096 is a wasteful number, since it uses less digits than its factorization.

72435096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72435096 is about 8510.8810354745. The cubic root of 72435096 is about 416.8530786867.

The spelling of 72435096 in words is "seventy-two million, four hundred thirty-five thousand, ninety-six".