75072816 has 240 divisors, whose sum is σ = 274607424. Its totient is φ = 18579456.

The previous prime is 75072757. The next prime is 75072853. The reversal of 75072816 is 61827057.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222600 + ... + 222936.

Almost surely, 2^75072816 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 75072816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137303712).

75072816 is an abundant number, since it is smaller than the sum of its proper divisors (199534608).

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

75072816 is a wasteful number, since it uses less digits than its factorization.

75072816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 75072816 is about 8664.4570516565. The cubic root of 75072816 is about 421.8527671576.

The spelling of 75072816 in words is "seventy-five million, seventy-two thousand, eight hundred sixteen".