72358272 has 160 divisors (see below), whose sum is σ = 246346320. Its totient is φ = 20653056.

The previous prime is 72358271. The next prime is 72358283. The reversal of 72358272 is 27285327.

It is a happy number.

72358272 is a `hidden beast` number, since 7 + 2 + 3 + 582 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72358271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72078 + ... + 73074.

Almost surely, 2^72358272 is an apocalyptic number.

72358272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72358272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123173160).

72358272 is an abundant number, since it is smaller than the sum of its proper divisors (173988048).

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

72358272 is an equidigital number, since it uses as much as digits as its factorization.

72358272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1009 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72358272 is about 8506.3665568796. The cubic root of 72358272 is about 416.7056563692.

The spelling of 72358272 in words is "seventy-two million, three hundred fifty-eight thousand, two hundred seventy-two".