72038424 has 64 divisors (see below), whose sum is σ = 190656000. Its totient is φ = 22619520.

The previous prime is 72038423. The next prime is 72038437. The reversal of 72038424 is 42483027.

It is a junction number, because it is equal to n+sod(n) for n = 72038391 and 72038400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72038423) 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, 108654 + ... + 109314.

It is an arithmetic number, because the mean of its divisors is an integer number (2979000).

Almost surely, 2^72038424 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 72038424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95328000).

72038424 is an abundant number, since it is smaller than the sum of its proper divisors (118617576).

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

72038424 is a wasteful number, since it uses less digits than its factorization.

72038424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 72038424 is about 8487.5452281564. The cubic root of 72038424 is about 416.0907562097.

The spelling of 72038424 in words is "seventy-two million, thirty-eight thousand, four hundred twenty-four".