72729952 has 12 divisors (see below), whose sum is σ = 143187156. Its totient is φ = 36364960.

The previous prime is 72729869. The next prime is 72729959. The reversal of 72729952 is 25992727.

It is a junction number, because it is equal to n+sod(n) for n = 72729899 and 72729908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72729959) by changing a digit.

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, 1136374 + ... + 1136437.

It is an arithmetic number, because the mean of its divisors is an integer number (11932263).

Almost surely, 2^72729952 is an apocalyptic number.

It is an amenable number.

72729952 is a deficient number, since it is larger than the sum of its proper divisors (70457204).

72729952 is a wasteful number, since it uses less digits than its factorization.

72729952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272821 (or 2272813 counting only the distinct ones).

The product of its digits is 158760, while the sum is 43.

The square root of 72729952 is about 8528.1857390655. The cubic root of 72729952 is about 417.4179302509.

The spelling of 72729952 in words is "seventy-two million, seven hundred twenty-nine thousand, nine hundred fifty-two".