1417842072 has 96 divisors (see below), whose sum is σ = 3994286400. Its totient is φ = 453952512.

The previous prime is 1417841963. The next prime is 1417842079. The reversal of 1417842072 is 2702487141.

It is a super-2 number, since 2×1417842072² = 4020552282266506368, which contains 22 as substring.

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 (1417842079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207088 + ... + 213824.

It is an arithmetic number, because the mean of its divisors is an integer number (41607150).

Almost surely, 2^1417842072 is an apocalyptic number.

1417842072 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 1417842072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997143200).

1417842072 is an abundant number, since it is smaller than the sum of its proper divisors (2576444328).

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

1417842072 is a wasteful number, since it uses less digits than its factorization.

1417842072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6865 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1417842072 is about 37654.2437448955. The cubic root of 1417842072 is about 1123.4212117871.

The spelling of 1417842072 in words is "one billion, four hundred seventeen million, eight hundred forty-two thousand, seventy-two".