31072000 has 72 divisors (see below), whose sum is σ = 77483952. Its totient is φ = 12416000.

The previous prime is 31071991. The next prime is 31072001. The reversal of 31072000 is 27013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31072001) 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 7 ways as a sum of consecutive naturals, for example, 31515 + ... + 32485.

It is an arithmetic number, because the mean of its divisors is an integer number (1076166).

Almost surely, 2^31072000 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 31072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38741976).

31072000 is an abundant number, since it is smaller than the sum of its proper divisors (46411952).

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

31072000 is an frugal number, since it uses more digits than its factorization.

31072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 31072000 is about 5574.2264037264. The cubic root of 31072000 is about 314.3810808584.

Adding to 31072000 its reverse (27013), we get a palindrome (31099013).

The spelling of 31072000 in words is "thirty-one million, seventy-two thousand".