72301272 has 32 divisors (see below), whose sum is σ = 191386800. Its totient is φ = 22682624.

The previous prime is 72301249. The next prime is 72301279. The reversal of 72301272 is 27210327.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72301279) 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, 88197 + ... + 89012.

Almost surely, 2^72301272 is an apocalyptic number.

It is an amenable number.

72301272 is an abundant number, since it is smaller than the sum of its proper divisors (119085528).

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

72301272 is a wasteful number, since it uses less digits than its factorization.

72301272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177235 (or 177231 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 72301272 is about 8503.0154651159. The cubic root of 72301272 is about 416.5962081039.

Adding to 72301272 its reverse (27210327), we get a palindrome (99511599).

The spelling of 72301272 in words is "seventy-two million, three hundred one thousand, two hundred seventy-two".