48065472 has 252 divisors, whose sum is σ = 173909736. Its totient is φ = 12579840.

The previous prime is 48065461. The next prime is 48065527. The reversal of 48065472 is 27456084.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×48065472³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366847 + ... + 366977.

It is an arithmetic number, because the mean of its divisors is an integer number (690118).

Almost surely, 2^48065472 is an apocalyptic number.

48065472 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 48065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86954868).

48065472 is an abundant number, since it is smaller than the sum of its proper divisors (125844264).

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

48065472 is a wasteful number, since it uses less digits than its factorization.

48065472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48065472 is about 6932.9266547397. The cubic root of 48065472 is about 363.5892803282.

The spelling of 48065472 in words is "forty-eight million, sixty-five thousand, four hundred seventy-two".