72491948 has 24 divisors (see below), whose sum is σ = 128419200. Its totient is φ = 35804160.

The previous prime is 72491933. The next prime is 72491953. The reversal of 72491948 is 84919427.

It is a junction number, because it is equal to n+sod(n) for n = 72491899 and 72491908.

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 7 ways as a sum of consecutive naturals, for example, 161228 + ... + 161676.

It is an arithmetic number, because the mean of its divisors is an integer number (5350800).

Almost surely, 2^72491948 is an apocalyptic number.

It is an amenable number.

72491948 is a deficient number, since it is larger than the sum of its proper divisors (55927252).

72491948 is a wasteful number, since it uses less digits than its factorization.

72491948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 855 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 72491948 is about 8514.2203401134. The cubic root of 72491948 is about 416.9621084023.

The spelling of 72491948 in words is "seventy-two million, four hundred ninety-one thousand, nine hundred forty-eight".