1071872352 has 240 divisors, whose sum is σ = 3300454080. Its totient is φ = 340962048.

The previous prime is 1071872341. The next prime is 1071872353. The reversal of 1071872352 is 2532781701.

It is a super-2 number, since 2×1071872352² = 2297820677964023808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071872353) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6575823 + ... + 6575985.

It is an arithmetic number, because the mean of its divisors is an integer number (13751892).

Almost surely, 2^1071872352 is an apocalyptic number.

1071872352 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 1071872352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650227040).

1071872352 is an abundant number, since it is smaller than the sum of its proper divisors (2228581728).

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

1071872352 is a wasteful number, since it uses less digits than its factorization.

1071872352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1071872352 is about 32739.4616938031. The cubic root of 1071872352 is about 1023.4053656202.

The spelling of 1071872352 in words is "one billion, seventy-one million, eight hundred seventy-two thousand, three hundred fifty-two".