72427488 has 144 divisors (see below), whose sum is σ = 224940240. Its totient is φ = 20342784.

The previous prime is 72427447. The next prime is 72427493. The reversal of 72427488 is 88472427.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

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, 418570 + ... + 418742.

It is an arithmetic number, because the mean of its divisors is an integer number (1562085).

Almost surely, 2^72427488 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 72427488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112470120).

72427488 is an abundant number, since it is smaller than the sum of its proper divisors (152512752).

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

72427488 is a wasteful number, since it uses less digits than its factorization.

72427488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 72427488 is about 8510.4340664857. The cubic root of 72427488 is about 416.8384838773.

The spelling of 72427488 in words is "seventy-two million, four hundred twenty-seven thousand, four hundred eighty-eight".