72829264 has 10 divisors (see below), whose sum is σ = 141106730. Its totient is φ = 36414624.

The previous prime is 72829259. The next prime is 72829271. The reversal of 72829264 is 46292827.

It can be written as a sum of positive squares in only one way, i.e., 37307664 + 35521600 = 6108^2 + 5960^2 .

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 as a sum of consecutive naturals, namely, 2275899 + ... + 2275930.

It is an arithmetic number, because the mean of its divisors is an integer number (14110673).

Almost surely, 2^72829264 is an apocalyptic number.

It is an amenable number.

72829264 is a deficient number, since it is larger than the sum of its proper divisors (68277466).

72829264 is a wasteful number, since it uses less digits than its factorization.

72829264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551837 (or 4551831 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 72829264 is about 8534.0063276283. The cubic root of 72829264 is about 417.6078371327.

It can be divided in two parts, 728 and 29264, that added together give a palindrome (29992).

The spelling of 72829264 in words is "seventy-two million, eight hundred twenty-nine thousand, two hundred sixty-four".