75366720 has 448 divisors, whose sum is σ = 317479680. Its totient is φ = 16588800.

The previous prime is 75366719. The next prime is 75366761. The reversal of 75366720 is 2766357.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235490 + ... + 1235550.

It is an arithmetic number, because the mean of its divisors is an integer number (708660).

Almost surely, 2^75366720 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 75366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840).

75366720 is an abundant number, since it is smaller than the sum of its proper divisors (242112960).

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

75366720 is a wasteful number, since it uses less digits than its factorization.

75366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 75366720 is about 8681.4008086253. The cubic root of 75366720 is about 422.4025568027.

The spelling of 75366720 in words is "seventy-five million, three hundred sixty-six thousand, seven hundred twenty".