39778272 has 72 divisors (see below), whose sum is σ = 115085880. Its totient is φ = 13029120.

The previous prime is 39778261. The next prime is 39778273. The reversal of 39778272 is 27287793.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39778273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15822 + ... + 18162.

It is an arithmetic number, because the mean of its divisors is an integer number (1598415).

Almost surely, 2^39778272 is an apocalyptic number.

39778272 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 39778272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57542940).

39778272 is an abundant number, since it is smaller than the sum of its proper divisors (75307608).

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

39778272 is a wasteful number, since it uses less digits than its factorization.

39778272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2405 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 39778272 is about 6307.0018233706. The cubic root of 39778272 is about 341.3621022030.

The spelling of 39778272 in words is "thirty-nine million, seven hundred seventy-eight thousand, two hundred seventy-two".