38566272 has 64 divisors (see below), whose sum is σ = 104040000. Its totient is φ = 12655104.

The previous prime is 38566249. The next prime is 38566279. The reversal of 38566272 is 27266583.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 38566272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38566279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24979 + ... + 26477.

It is an arithmetic number, because the mean of its divisors is an integer number (1625625).

Almost surely, 2^38566272 is an apocalyptic number.

38566272 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 38566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52020000).

38566272 is an abundant number, since it is smaller than the sum of its proper divisors (65473728).

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

38566272 is a wasteful number, since it uses less digits than its factorization.

38566272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1571 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 38566272 is about 6210.1748767647. The cubic root of 38566272 is about 337.8593067793.

The spelling of 38566272 in words is "thirty-eight million, five hundred sixty-six thousand, two hundred seventy-two".