1941795072 has 288 divisors, whose sum is σ = 6671616000. Its totient is φ = 545605632.

The previous prime is 1941795071. The next prime is 1941795073. The reversal of 1941795072 is 2705971491.

It is an interprime number because it is at equal distance from previous prime (1941795071) and next prime (1941795073).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1941795071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3241429 + ... + 3242027.

Almost surely, 2^1941795072 is an apocalyptic number.

1941795072 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 1941795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335808000).

1941795072 is an abundant number, since it is smaller than the sum of its proper divisors (4729820928).

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

1941795072 is an equidigital number, since it uses as much as digits as its factorization.

1941795072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 1941795072 is about 44065.8038846451. The cubic root of 1941795072 is about 1247.5782598631.

The spelling of 1941795072 in words is "one billion, nine hundred forty-one million, seven hundred ninety-five thousand, seventy-two".