72849042 has 24 divisors (see below), whose sum is σ = 180388416. Its totient is φ = 20813976.

The previous prime is 72849031. The next prime is 72849043. The reversal of 72849042 is 24094827.

It is a junction number, because it is equal to n+sod(n) for n = 72848988 and 72849006.

It is not an unprimeable number, because it can be changed into a prime (72849043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288958 + ... + 289209.

It is an arithmetic number, because the mean of its divisors is an integer number (7516184).

Almost surely, 2^72849042 is an apocalyptic number.

72849042 is an abundant number, since it is smaller than the sum of its proper divisors (107539374).

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

72849042 is a wasteful number, since it uses less digits than its factorization.

72849042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578182 (or 578179 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72849042 is about 8535.1650247667. The cubic root of 72849042 is about 417.6456364997.

It can be divided in two parts, 728 and 49042, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 72849042 in words is "seventy-two million, eight hundred forty-nine thousand, forty-two".