7152800 has 36 divisors (see below), whose sum is σ = 17463726. Its totient is φ = 2860800.

The previous prime is 7152791. The next prime is 7152823. The reversal of 7152800 is 82517.

It can be written as a sum of positive squares in 3 ways, for example, as 5779216 + 1373584 = 2404^2 + 1172^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3671 + ... + 5270.

Almost surely, 2^7152800 is an apocalyptic number.

It is an amenable number.

7152800 is an abundant number, since it is smaller than the sum of its proper divisors (10310926).

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

7152800 is a wasteful number, since it uses less digits than its factorization.

7152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8961 (or 8948 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 7152800 is about 2674.4719104900. The cubic root of 7152800 is about 192.6749968794.

The spelling of 7152800 in words is "seven million, one hundred fifty-two thousand, eight hundred".