238167072 has 144 divisors (see below), whose sum is σ = 795832128. Its totient is φ = 66608640.

The previous prime is 238167043. The next prime is 238167091. The reversal of 238167072 is 270761832.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38293 + ... + 44075.

It is an arithmetic number, because the mean of its divisors is an integer number (5526612).

Almost surely, 2^238167072 is an apocalyptic number.

238167072 is a gapful number since it is divisible by the number (22) 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 238167072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397916064).

238167072 is an abundant number, since it is smaller than the sum of its proper divisors (557665056).

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

238167072 is a wasteful number, since it uses less digits than its factorization.

238167072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 238167072 is about 15432.6625052192. The cubic root of 238167072 is about 619.8604194978.

The spelling of 238167072 in words is "two hundred thirty-eight million, one hundred sixty-seven thousand, seventy-two".