72048948 has 24 divisors (see below), whose sum is σ = 170244480. Its totient is φ = 23712000.

The previous prime is 72048947. The next prime is 72048961. The reversal of 72048948 is 84984027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72048947) by changing a digit.

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, 37053 + ... + 38948.

It is an arithmetic number, because the mean of its divisors is an integer number (7093520).

Almost surely, 2^72048948 is an apocalyptic number.

It is an amenable number.

72048948 is an abundant number, since it is smaller than the sum of its proper divisors (98195532).

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

72048948 is a wasteful number, since it uses less digits than its factorization.

72048948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76087 (or 76085 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 72048948 is about 8488.1651727567. The cubic root of 72048948 is about 416.1110172762. Note that the first 3 decimals are identical.

The spelling of 72048948 in words is "seventy-two million, forty-eight thousand, nine hundred forty-eight".