1007007672 has 32 divisors (see below), whose sum is σ = 2746385280. Its totient is φ = 305153760.

The previous prime is 1007007671. The next prime is 1007007713. The reversal of 1007007672 is 2767007001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007007671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1906948 + ... + 1907475.

It is an arithmetic number, because the mean of its divisors is an integer number (85824540).

Almost surely, 2^1007007672 is an apocalyptic number.

1007007672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007007672 is an abundant number, since it is smaller than the sum of its proper divisors (1739377608).

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

1007007672 is a wasteful number, since it uses less digits than its factorization.

1007007672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814443 (or 3814439 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 1007007672 is about 31733.3841876343. The cubic root of 1007007672 is about 1002.3304554253.

The spelling of 1007007672 in words is "one billion, seven million, seven thousand, six hundred seventy-two".