75088416 has 48 divisors (see below), whose sum is σ = 212272704. Its totient is φ = 23103744.

The previous prime is 75088411. The next prime is 75088423. The reversal of 75088416 is 61488057.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (75088411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28836 + ... + 31331.

It is an arithmetic number, because the mean of its divisors is an integer number (4422348).

Almost surely, 2^75088416 is an apocalyptic number.

It is an amenable number.

75088416 is an abundant number, since it is smaller than the sum of its proper divisors (137184288).

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

75088416 is a wasteful number, since it uses less digits than its factorization.

75088416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60193 (or 60185 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 75088416 is about 8665.3572344134. The cubic root of 75088416 is about 421.8819852232.

The spelling of 75088416 in words is "seventy-five million, eighty-eight thousand, four hundred sixteen".