48071520 has 288 divisors, whose sum is σ = 198132480. Its totient is φ = 10368000.

The previous prime is 48071509. The next prime is 48071521. The reversal of 48071520 is 2517084.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×48071520³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48071521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191395 + ... + 191645.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^48071520 is an apocalyptic number.

48071520 is a gapful number since it is divisible by the number (40) 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 48071520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

48071520 is an abundant number, since it is smaller than the sum of its proper divisors (150060960).

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

48071520 is a wasteful number, since it uses less digits than its factorization.

48071520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 48071520 is about 6933.3628204501. The cubic root of 48071520 is about 363.6045296375.

The spelling of 48071520 in words is "forty-eight million, seventy-one thousand, five hundred twenty".