1014132672 has 168 divisors, whose sum is σ = 3357632096. Its totient is φ = 286654464.

The previous prime is 1014132659. The next prime is 1014132673. The reversal of 1014132672 is 2762314101.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014132673) 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, 389808 + ... + 392400.

Almost surely, 2^1014132672 is an apocalyptic number.

1014132672 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 1014132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678816048).

1014132672 is an abundant number, since it is smaller than the sum of its proper divisors (2343499424).

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

1014132672 is a wasteful number, since it uses less digits than its factorization.

1014132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1014132672 is about 31845.4497848594. The cubic root of 1014132672 is about 1004.6888707949.

Adding to 1014132672 its reverse (2762314101), we get a palindrome (3776446773).

The spelling of 1014132672 in words is "one billion, fourteen million, one hundred thirty-two thousand, six hundred seventy-two".