38520972 has 72 divisors (see below), whose sum is σ = 114895872. Its totient is φ = 10648800.

The previous prime is 38520971. The next prime is 38520973. The reversal of 38520972 is 27902583.

It is a happy number.

38520972 is a `hidden beast` number, since 385 + 209 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (38520971) and next prime (38520973).

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

It is not an unprimeable number, because it can be changed into a prime (38520971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5347 + ... + 10277.

It is an arithmetic number, because the mean of its divisors is an integer number (1595776).

Almost surely, 2^38520972 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 38520972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57447936).

38520972 is an abundant number, since it is smaller than the sum of its proper divisors (76374900).

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

38520972 is a wasteful number, since it uses less digits than its factorization.

38520972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38520972 is about 6206.5265648348. The cubic root of 38520972 is about 337.7269716053.

The spelling of 38520972 in words is "thirty-eight million, five hundred twenty thousand, nine hundred seventy-two".