48420672 has 56 divisors (see below), whose sum is σ = 131259072. Its totient is φ = 15744000.

The previous prime is 48420653. The next prime is 48420677. The reversal of 48420672 is 27602484.

It is a super-2 number, since 2×48420672² = 4689122953863168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48420677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4797 + ... + 10947.

It is an arithmetic number, because the mean of its divisors is an integer number (2343912).

Almost surely, 2^48420672 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 48420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65629536).

48420672 is an abundant number, since it is smaller than the sum of its proper divisors (82838400).

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

48420672 is a wasteful number, since it uses less digits than its factorization.

48420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 48420672 is about 6958.4963893071. The cubic root of 48420672 is about 364.4827150416.

The spelling of 48420672 in words is "forty-eight million, four hundred twenty thousand, six hundred seventy-two".