38079072 has 144 divisors (see below), whose sum is σ = 115577280. Its totient is φ = 12327552.

The previous prime is 38079047. The next prime is 38079073. The reversal of 38079072 is 27097083.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38079073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458743 + ... + 458825.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^38079072 is an apocalyptic number.

38079072 is a gapful number since it is divisible by the number (32) 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 38079072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57788640).

38079072 is an abundant number, since it is smaller than the sum of its proper divisors (77498208).

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

38079072 is an equidigital number, since it uses as much as digits as its factorization.

38079072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 38079072 is about 6170.8242561266. The cubic root of 38079072 is about 336.4305704546.

The spelling of 38079072 in words is "thirty-eight million, seventy-nine thousand, seventy-two".