72271472 has 80 divisors (see below), whose sum is σ = 176030400. Its totient is φ = 28562688.

The previous prime is 72271439. The next prime is 72271481. The reversal of 72271472 is 27417227.

It is a happy number.

It is a super-3 number, since 3×72271472³ (a number of 25 digits) contains 333 as substring.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70838 + ... + 71850.

It is an arithmetic number, because the mean of its divisors is an integer number (2200380).

Almost surely, 2^72271472 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 72271472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88015200).

72271472 is an abundant number, since it is smaller than the sum of its proper divisors (103758928).

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

72271472 is a wasteful number, since it uses less digits than its factorization.

72271472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1035 counting only the distinct ones).

The product of its digits is 10976, while the sum is 32.

The square root of 72271472 is about 8501.2629649953. The cubic root of 72271472 is about 416.5389648832.

Adding to 72271472 its reverse (27417227), we get a palindrome (99688699).

The spelling of 72271472 in words is "seventy-two million, two hundred seventy-one thousand, four hundred seventy-two".