1007416272 has 20 divisors (see below), whose sum is σ = 2602492160. Its totient is φ = 335805408.

The previous prime is 1007416253. The next prime is 1007416273. The reversal of 1007416272 is 2726147001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007416273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10493872 + ... + 10493967.

It is an arithmetic number, because the mean of its divisors is an integer number (130124608).

Almost surely, 2^1007416272 is an apocalyptic number.

1007416272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007416272 is an abundant number, since it is smaller than the sum of its proper divisors (1595075888).

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

1007416272 is a wasteful number, since it uses less digits than its factorization.

1007416272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20987850 (or 20987844 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 1007416272 is about 31739.8215495929. The cubic root of 1007416272 is about 1002.4660044898.

The spelling of 1007416272 in words is "one billion, seven million, four hundred sixteen thousand, two hundred seventy-two".