72329838 has 32 divisors (see below), whose sum is σ = 166200576. Its totient is φ = 20556288.

The previous prime is 72329821. The next prime is 72329839. The reversal of 72329838 is 83892327.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72329838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72329839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3645 + ... + 12567.

It is an arithmetic number, because the mean of its divisors is an integer number (5193768).

Almost surely, 2^72329838 is an apocalyptic number.

72329838 is an abundant number, since it is smaller than the sum of its proper divisors (93870738).

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

72329838 is a wasteful number, since it uses less digits than its factorization.

72329838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9128.

The product of its digits is 145152, while the sum is 42.

The square root of 72329838 is about 8504.6950562616. The cubic root of 72329838 is about 416.6510661537.

The spelling of 72329838 in words is "seventy-two million, three hundred twenty-nine thousand, eight hundred thirty-eight".