72512352 has 144 divisors (see below), whose sum is σ = 230211072. Its totient is φ = 21461760.

The previous prime is 72512339. The next prime is 72512389. The reversal of 72512352 is 25321527.

It is a tau number, because it is divible by the number of its divisors (144).

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, 148653 + ... + 149139.

It is an arithmetic number, because the mean of its divisors is an integer number (1598688).

Almost surely, 2^72512352 is an apocalyptic number.

72512352 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 72512352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115105536).

72512352 is an abundant number, since it is smaller than the sum of its proper divisors (157698720).

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

72512352 is a wasteful number, since it uses less digits than its factorization.

72512352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 72512352 is about 8515.4184864867. The cubic root of 72512352 is about 417.0012249157.

Adding to 72512352 its reverse (25321527), we get a palindrome (97833879).

The spelling of 72512352 in words is "seventy-two million, five hundred twelve thousand, three hundred fifty-two".