72420048 has 80 divisors (see below), whose sum is σ = 211861440. Its totient is φ = 23677056.

The previous prime is 72420043. The next prime is 72420067. The reversal of 72420048 is 84002427.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72420043) 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, 21315 + ... + 24477.

It is an arithmetic number, because the mean of its divisors is an integer number (2648268).

Almost surely, 2^72420048 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 72420048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105930720).

72420048 is an abundant number, since it is smaller than the sum of its proper divisors (139441392).

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

72420048 is a wasteful number, since it uses less digits than its factorization.

72420048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3221 counting only the distinct ones).

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

The square root of 72420048 is about 8509.9969447703. The cubic root of 72420048 is about 416.8242103622.

The spelling of 72420048 in words is "seventy-two million, four hundred twenty thousand, forty-eight".