31772040 has 64 divisors (see below), whose sum is σ = 95765760. Its totient is φ = 8432640.

The previous prime is 31772017. The next prime is 31772053. The reversal of 31772040 is 4027713.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31772040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32032 + ... + 33008.

It is an arithmetic number, because the mean of its divisors is an integer number (1496340).

Almost surely, 2^31772040 is an apocalyptic number.

31772040 is a gapful number since it is divisible by the number (30) 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 31772040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47882880).

31772040 is an abundant number, since it is smaller than the sum of its proper divisors (63993720).

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

31772040 is a wasteful number, since it uses less digits than its factorization.

31772040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 31772040 is about 5636.6692292523. The cubic root of 31772040 is about 316.7245299002.

Adding to 31772040 its reverse (4027713), we get a palindrome (35799753).

The spelling of 31772040 in words is "thirty-one million, seven hundred seventy-two thousand, forty".