72399834 has 96 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 20958336.

The previous prime is 72399829. The next prime is 72399839. The reversal of 72399834 is 43899327.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72399829) and next prime (72399839).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (326592) is a multiple of the sum of its prime factors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 72399834.

It is not an unprimeable number, because it can be changed into a prime (72399839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318829 + ... + 319055.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^72399834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72399834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

72399834 is an abundant number, since it is smaller than the sum of its proper divisors (106862886).

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

72399834 is a wasteful number, since it uses less digits than its factorization.

72399834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 72399834 is about 8508.8091998822. The cubic root of 72399834 is about 416.7854252059.

The spelling of 72399834 in words is "seventy-two million, three hundred ninety-nine thousand, eight hundred thirty-four".