1072818432 has 360 divisors, whose sum is σ = 3858254400. Its totient is φ = 289640448.

The previous prime is 1072818389. The next prime is 1072818433. The reversal of 1072818432 is 2348182701.

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

It is not an unprimeable number, because it can be changed into a prime (1072818433) 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, 2757694 + ... + 2758082.

Almost surely, 2^1072818432 is an apocalyptic number.

1072818432 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 1072818432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929127200).

1072818432 is an abundant number, since it is smaller than the sum of its proper divisors (2785435968).

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

1072818432 is an equidigital number, since it uses as much as digits as its factorization.

1072818432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1072818432 is about 32753.9071257156. The cubic root of 1072818432 is about 1023.7063774030.

The spelling of 1072818432 in words is "one billion, seventy-two million, eight hundred eighteen thousand, four hundred thirty-two".