72479840 has 48 divisors (see below), whose sum is σ = 181312992. Its totient is φ = 27285504.

The previous prime is 72479839. The next prime is 72479861. The reversal of 72479840 is 4897427.

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 7 ways as a sum of consecutive naturals, for example, 10604 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (3777354).

Almost surely, 2^72479840 is an apocalyptic number.

It is an amenable number.

72479840 is an abundant number, since it is smaller than the sum of its proper divisors (108833152).

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

72479840 is a wasteful number, since it uses less digits than its factorization.

72479840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26679 (or 26671 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 72479840 is about 8513.5092646922. The cubic root of 72479840 is about 416.9388926822.

The spelling of 72479840 in words is "seventy-two million, four hundred seventy-nine thousand, eight hundred forty".