38272752 has 120 divisors (see below), whose sum is σ = 125400704. Its totient is φ = 10668672.

The previous prime is 38272739. The next prime is 38272757. The reversal of 38272752 is 25727283.

It is a happy number.

38272752 is a `hidden beast` number, since 382 + 7 + 275 + 2 = 666.

It is a Cunningham number, because it is equal to 337³-1.

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 (38272757) 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, 42903 + ... + 43785.

Almost surely, 2^38272752 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 38272752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62700352).

38272752 is an abundant number, since it is smaller than the sum of its proper divisors (87127952).

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

38272752 is a wasteful number, since it uses less digits than its factorization.

38272752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 938 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 38272752 is about 6186.4975551599. The cubic root of 38272752 is about 336.9999970649. Note that the first 5 decimals are identical.

The spelling of 38272752 in words is "thirty-eight million, two hundred seventy-two thousand, seven hundred fifty-two".