72419536 has 40 divisors (see below), whose sum is σ = 161082944. Its totient is φ = 30896640.

The previous prime is 72419533. The next prime is 72419561. The reversal of 72419536 is 63591427.

It is a junction number, because it is equal to n+sod(n) for n = 72419495 and 72419504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72419533) 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, 25651 + ... + 28333.

Almost surely, 2^72419536 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 72419536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80541472).

72419536 is an abundant number, since it is smaller than the sum of its proper divisors (88663408).

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

72419536 is a wasteful number, since it uses less digits than its factorization.

72419536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2933 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 72419536 is about 8509.9668624502. The cubic root of 72419536 is about 416.8232280629.

The spelling of 72419536 in words is "seventy-two million, four hundred nineteen thousand, five hundred thirty-six".