72115424 has 48 divisors (see below), whose sum is σ = 147893760. Its totient is φ = 34577280.

The previous prime is 72115423. The next prime is 72115441. The reversal of 72115424 is 42451127.

It is a junction number, because it is equal to n+sod(n) for n = 72115393 and 72115402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72115423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137627 + ... + 138149.

It is an arithmetic number, because the mean of its divisors is an integer number (3081120).

Almost surely, 2^72115424 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 72115424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73946880).

72115424 is an abundant number, since it is smaller than the sum of its proper divisors (75778336).

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

72115424 is a wasteful number, since it uses less digits than its factorization.

72115424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 72115424 is about 8492.0800749875. The cubic root of 72115424 is about 416.2389529544.

The spelling of 72115424 in words is "seventy-two million, one hundred fifteen thousand, four hundred twenty-four".