72948192 has 48 divisors (see below), whose sum is σ = 194643792. Its totient is φ = 23915520.

The previous prime is 72948181. The next prime is 72948199. The reversal of 72948192 is 29184927.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72948199) 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, 373 + ... + 12084.

It is an arithmetic number, because the mean of its divisors is an integer number (4055079).

Almost surely, 2^72948192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72948192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97321896).

72948192 is an abundant number, since it is smaller than the sum of its proper divisors (121695600).

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

72948192 is a wasteful number, since it uses less digits than its factorization.

72948192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12531 (or 12523 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 72948192 is about 8540.9713733275. The cubic root of 72948192 is about 417.8350271964.

The spelling of 72948192 in words is "seventy-two million, nine hundred forty-eight thousand, one hundred ninety-two".