72440928 has 72 divisors (see below), whose sum is σ = 235439568. Its totient is φ = 20696832.

The previous prime is 72440909. The next prime is 72440933. The reversal of 72440928 is 82904427.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72440892 and 72440901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15951 + ... + 19982.

It is an arithmetic number, because the mean of its divisors is an integer number (3269994).

Almost surely, 2^72440928 is an apocalyptic number.

It is an amenable number.

72440928 is an abundant number, since it is smaller than the sum of its proper divisors (162998640).

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

72440928 is a wasteful number, since it uses less digits than its factorization.

72440928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35956 (or 35945 counting only the distinct ones).

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

The square root of 72440928 is about 8511.2236488063. The cubic root of 72440928 is about 416.8642658139.

The spelling of 72440928 in words is "seventy-two million, four hundred forty thousand, nine hundred twenty-eight".