48072192 has 160 divisors (see below), whose sum is σ = 155561472. Its totient is φ = 12877824.

The previous prime is 48072181. The next prime is 48072251. The reversal of 48072192 is 29127084.

It is a happy number.

It is a super-3 number, since 3×48072192³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182653 + ... + 182915.

Almost surely, 2^48072192 is an apocalyptic number.

48072192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48072192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77780736).

48072192 is an abundant number, since it is smaller than the sum of its proper divisors (107489280).

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

48072192 is a wasteful number, since it uses less digits than its factorization.

48072192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 48072192 is about 6933.4112816131. The cubic root of 48072192 is about 363.6062239262.

The spelling of 48072192 in words is "forty-eight million, seventy-two thousand, one hundred ninety-two".