7865580072 has 128 divisors (see below), whose sum is σ = 22752000000. Its totient is φ = 2219602176.

The previous prime is 7865580061. The next prime is 7865580083. The reversal of 7865580072 is 2700855687.

It is an interprime number because it is at equal distance from previous prime (7865580061) and next prime (7865580083).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4980579 + ... + 4982157.

It is an arithmetic number, because the mean of its divisors is an integer number (177750000).

Almost surely, 2^7865580072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7865580072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376000000).

7865580072 is an abundant number, since it is smaller than the sum of its proper divisors (14886419928).

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

7865580072 is a wasteful number, since it uses less digits than its factorization.

7865580072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 7865580072 is about 88688.1055835561. The cubic root of 7865580072 is about 1988.7350084433.

The spelling of 7865580072 in words is "seven billion, eight hundred sixty-five million, five hundred eighty thousand, seventy-two".