75600072 has 48 divisors (see below), whose sum is σ = 211361280. Its totient is φ = 24386400.

The previous prime is 75600059. The next prime is 75600073. The reversal of 75600072 is 27000657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75600073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14704 + ... + 19167.

It is an arithmetic number, because the mean of its divisors is an integer number (4403360).

Almost surely, 2^75600072 is an apocalyptic number.

75600072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75600072 is an abundant number, since it is smaller than the sum of its proper divisors (135761208).

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

75600072 is a wasteful number, since it uses less digits than its factorization.

75600072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33914 (or 33907 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 75600072 is about 8694.8301881060. The cubic root of 75600072 is about 422.8380581581.

The spelling of 75600072 in words is "seventy-five million, six hundred thousand, seventy-two".