72765048 has 32 divisors (see below), whose sum is σ = 182154960. Its totient is φ = 24222720.

The previous prime is 72765047. The next prime is 72765101. The reversal of 72765048 is 84056727.

It is a junction number, because it is equal to n+sod(n) for n = 72764997 and 72765015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72765047) 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 7 ways as a sum of consecutive naturals, for example, 22408 + ... + 25448.

Almost surely, 2^72765048 is an apocalyptic number.

It is an amenable number.

72765048 is an abundant number, since it is smaller than the sum of its proper divisors (109389912).

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

72765048 is a wasteful number, since it uses less digits than its factorization.

72765048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 72765048 is about 8530.2431383871. The cubic root of 72765048 is about 417.4850614374.

The spelling of 72765048 in words is "seventy-two million, seven hundred sixty-five thousand, forty-eight".