48036627072 has 384 divisors, whose sum is σ = 165559464000. Its totient is φ = 13671770112.

The previous prime is 48036627059. The next prime is 48036627073. The reversal of 48036627072 is 27072663084.

48036627072 is a `hidden beast` number, since 480 + 36 + 6 + 2 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (48036627073) 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, 70954798 + ... + 70955474.

Almost surely, 2^48036627072 is an apocalyptic number.

48036627072 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 48036627072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82779732000).

48036627072 is an abundant number, since it is smaller than the sum of its proper divisors (117522836928).

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

48036627072 is a wasteful number, since it uses less digits than its factorization.

48036627072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 48036627072 in words is "forty-eight billion, thirty-six million, six hundred twenty-seven thousand, seventy-two".