1031772672 has 240 divisors, whose sum is σ = 3523703040. Its totient is φ = 284368896.

The previous prime is 1031772649. The next prime is 1031772691. The reversal of 1031772672 is 2762771301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 934873 + ... + 935975.

It is an arithmetic number, because the mean of its divisors is an integer number (14682096).

Almost surely, 2^1031772672 is an apocalyptic number.

1031772672 is a gapful number since it is divisible by the number (12) 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 1031772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761851520).

1031772672 is an abundant number, since it is smaller than the sum of its proper divisors (2491930368).

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

1031772672 is a wasteful number, since it uses less digits than its factorization.

1031772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 1031772672 is about 32121.2184077753. The cubic root of 1031772672 is about 1010.4806626305.

The spelling of 1031772672 in words is "one billion, thirty-one million, seven hundred seventy-two thousand, six hundred seventy-two".