72467248 has 40 divisors (see below), whose sum is σ = 161989632. Its totient is φ = 30762048.

The previous prime is 72467237. The next prime is 72467249. The reversal of 72467248 is 84276427.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72467248.

It is not an unprimeable number, because it can be changed into a prime (72467249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8961 + ... + 15007.

Almost surely, 2^72467248 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 72467248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80994816).

72467248 is an abundant number, since it is smaller than the sum of its proper divisors (89522384).

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

72467248 is a wasteful number, since it uses less digits than its factorization.

72467248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6163 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The square root of 72467248 is about 8512.7697020418. The cubic root of 72467248 is about 416.9147462042.

The spelling of 72467248 in words is "seventy-two million, four hundred sixty-seven thousand, two hundred forty-eight".