72048152 has 64 divisors (see below), whose sum is σ = 159062400. Its totient is φ = 30240000.

The previous prime is 72048143. The next prime is 72048157. The reversal of 72048152 is 25184027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72048157) 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, 68027 + ... + 69077.

It is an arithmetic number, because the mean of its divisors is an integer number (2485350).

Almost surely, 2^72048152 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 72048152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79531200).

72048152 is an abundant number, since it is smaller than the sum of its proper divisors (87014248).

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

72048152 is a wasteful number, since it uses less digits than its factorization.

72048152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 72048152 is about 8488.1182838130. The cubic root of 72048152 is about 416.1094848662.

The spelling of 72048152 in words is "seventy-two million, forty-eight thousand, one hundred fifty-two".