72478224 has 120 divisors (see below), whose sum is σ = 249692352. Its totient is φ = 19111680.

The previous prime is 72478223. The next prime is 72478229. The reversal of 72478224 is 42287427.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72478223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10339 + ... + 15869.

Almost surely, 2^72478224 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 72478224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124846176).

72478224 is an abundant number, since it is smaller than the sum of its proper divisors (177214128).

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

72478224 is a wasteful number, since it uses less digits than its factorization.

72478224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5556 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 72478224 is about 8513.4143561793. The cubic root of 72478224 is about 416.9357939895.

The spelling of 72478224 in words is "seventy-two million, four hundred seventy-eight thousand, two hundred twenty-four".