48721920 has 208 divisors, whose sum is σ = 170634912. Its totient is φ = 11796480.

The previous prime is 48721903. The next prime is 48721921. The reversal of 48721920 is 2912784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48721921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798690 + ... + 798750.

Almost surely, 2^48721920 is an apocalyptic number.

48721920 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 48721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85317456).

48721920 is an abundant number, since it is smaller than the sum of its proper divisors (121912992).

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

48721920 is a wasteful number, since it uses less digits than its factorization.

48721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 48721920 is about 6980.1088816723. The cubic root of 48721920 is about 365.2370262538.

The spelling of 48721920 in words is "forty-eight million, seven hundred twenty-one thousand, nine hundred twenty".