72419952 has 120 divisors (see below), whose sum is σ = 211823248. Its totient is φ = 21288960.

The previous prime is 72419933. The next prime is 72419959. The reversal of 72419952 is 25991427.

It is a self number, because there is not a number n which added to its sum of digits gives 72419952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72419959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214728 + ... + 215064.

Almost surely, 2^72419952 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 72419952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105911624).

72419952 is an abundant number, since it is smaller than the sum of its proper divisors (139403296).

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

72419952 is a wasteful number, since it uses less digits than its factorization.

72419952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 72419952 is about 8509.9913043434. The cubic root of 72419952 is about 416.8240261815.

It can be divided in two parts, 72 and 419952, that added together give a palindrome (420024).

The spelling of 72419952 in words is "seventy-two million, four hundred nineteen thousand, nine hundred fifty-two".