72419936 has 24 divisors (see below), whose sum is σ = 142768584. Its totient is φ = 36161280.

The previous prime is 72419933. The next prime is 72419959. The reversal of 72419936 is 63991427.

It is a junction number, because it is equal to n+sod(n) for n = 72419893 and 72419902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72419933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40436 + ... + 42188.

It is an arithmetic number, because the mean of its divisors is an integer number (5948691).

Almost surely, 2^72419936 is an apocalyptic number.

It is an amenable number.

72419936 is a deficient number, since it is larger than the sum of its proper divisors (70348648).

72419936 is a wasteful number, since it uses less digits than its factorization.

72419936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3046 counting only the distinct ones).

The product of its digits is 81648, while the sum is 41.

The square root of 72419936 is about 8509.9903642719. The cubic root of 72419936 is about 416.8239954846.

The spelling of 72419936 in words is "seventy-two million, four hundred nineteen thousand, nine hundred thirty-six".