39274272 has 144 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 12280320.

The previous prime is 39274163. The next prime is 39274283. The reversal of 39274272 is 27247293.

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

It is a super-2 number, since 2×39274272² = 3084936882259968, which contains 22 as substring.

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

It is an unprimeable number.

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, 473143 + ... + 473225.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^39274272 is an apocalyptic number.

39274272 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 39274272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

39274272 is an abundant number, since it is smaller than the sum of its proper divisors (79605216).

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

39274272 is a wasteful number, since it uses less digits than its factorization.

39274272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 39274272 is about 6266.9188601736. The cubic root of 39274272 is about 339.9142575024.

The spelling of 39274272 in words is "thirty-nine million, two hundred seventy-four thousand, two hundred seventy-two".