72078448 has 80 divisors (see below), whose sum is σ = 157239936. Its totient is φ = 31795200.

The previous prime is 72078443. The next prime is 72078511. The reversal of 72078448 is 84487027.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72078448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72078443) 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, 713598 + ... + 713698.

Almost surely, 2^72078448 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 72078448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78619968).

72078448 is an abundant number, since it is smaller than the sum of its proper divisors (85161488).

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

72078448 is a wasteful number, since it uses less digits than its factorization.

72078448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 72078448 is about 8489.9027085120. The cubic root of 72078448 is about 416.1678008952.

The spelling of 72078448 in words is "seventy-two million, seventy-eight thousand, four hundred forty-eight".