32478072 has 64 divisors (see below), whose sum is σ = 90668160. Its totient is φ = 9609600.

The previous prime is 32478071. The next prime is 32478073. The reversal of 32478072 is 27087423.

It is an interprime number because it is at equal distance from previous prime (32478071) and next prime (32478073).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32478071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9922 + ... + 12782.

It is an arithmetic number, because the mean of its divisors is an integer number (1416690).

Almost surely, 2^32478072 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 32478072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45334080).

32478072 is an abundant number, since it is smaller than the sum of its proper divisors (58190088).

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

32478072 is a wasteful number, since it uses less digits than its factorization.

32478072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 32478072 is about 5698.9535881598. The cubic root of 32478072 is about 319.0534267161.

The spelling of 32478072 in words is "thirty-two million, four hundred seventy-eight thousand, seventy-two".