48072420 has 96 divisors (see below), whose sum is σ = 163175040. Its totient is φ = 11652480.

The previous prime is 48072391. The next prime is 48072439. The reversal of 48072420 is 2427084.

It is a super-3 number, since 3×48072420³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1894 + ... + 9986.

It is an arithmetic number, because the mean of its divisors is an integer number (1699740).

Almost surely, 2^48072420 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 48072420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81587520).

48072420 is an abundant number, since it is smaller than the sum of its proper divisors (115102620).

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

48072420 is a wasteful number, since it uses less digits than its factorization.

48072420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8122 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 48072420 is about 6933.4277237165. The cubic root of 48072420 is about 363.6067987706.

It can be divided in two parts, 4807 and 2420, that added together give a palindrome (7227).

The spelling of 48072420 in words is "forty-eight million, seventy-two thousand, four hundred twenty".