1007375072 has 24 divisors (see below), whose sum is σ = 2163567672. Its totient is φ = 457897600.

The previous prime is 1007375023. The next prime is 1007375093. The reversal of 1007375072 is 2705737001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1430579 + ... + 1431282.

It is an arithmetic number, because the mean of its divisors is an integer number (90148653).

Almost surely, 2^1007375072 is an apocalyptic number.

It is an amenable number.

1007375072 is an abundant number, since it is smaller than the sum of its proper divisors (1156192600).

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

1007375072 is a wasteful number, since it uses less digits than its factorization.

1007375072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861882 (or 2861874 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 32.

The square root of 1007375072 is about 31739.1725159935. The cubic root of 1007375072 is about 1002.4523384534.

The spelling of 1007375072 in words is "one billion, seven million, three hundred seventy-five thousand, seventy-two".