48627072 has 192 divisors, whose sum is σ = 160392960. Its totient is φ = 14008320.

The previous prime is 48627071. The next prime is 48627077. The reversal of 48627072 is 27072684.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48627071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254497 + ... + 254687.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^48627072 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 48627072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

48627072 is an abundant number, since it is smaller than the sum of its proper divisors (111765888).

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

48627072 is a wasteful number, since it uses less digits than its factorization.

48627072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 48627072 is about 6973.3114085060. The cubic root of 48627072 is about 364.9998673922. Note that the first 3 decimals are identical.

The spelling of 48627072 in words is "forty-eight million, six hundred twenty-seven thousand, seventy-two".