7375872000 has 560 divisors, whose sum is σ = 28634600592. Its totient is φ = 1685913600.

The previous prime is 7375871989. The next prime is 7375872011. The reversal of 7375872000 is 2785737.

It is an interprime number because it is at equal distance from previous prime (7375871989) and next prime (7375872011).

It is a tau number, because it is divible by the number of its divisors (560).

It is a self number, because there is not a number n which added to its sum of digits gives 7375872000.

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 39 ways as a sum of consecutive naturals, for example, 1053695997 + ... + 1053696003.

Almost surely, 2^7375872000 is an apocalyptic number.

7375872000 is a gapful number since it is divisible by the number (70) 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 7375872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317300296).

7375872000 is an abundant number, since it is smaller than the sum of its proper divisors (21258728592).

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

7375872000 is an frugal number, since it uses more digits than its factorization.

7375872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 7375872000 is about 85882.8970168100. The cubic root of 7375872000 is about 1946.5749211364.

The spelling of 7375872000 in words is "seven billion, three hundred seventy-five million, eight hundred seventy-two thousand".