75037638 has 64 divisors (see below), whose sum is σ = 170376192. Its totient is φ = 21859200.

The previous prime is 75037637. The next prime is 75037673. The reversal of 75037638 is 83673057.

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

It is a junction number, because it is equal to n+sod(n) for n = 75037596 and 75037605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75037637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270756 + ... + 271032.

It is an arithmetic number, because the mean of its divisors is an integer number (2662128).

Almost surely, 2^75037638 is an apocalyptic number.

75037638 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75037638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85188096).

75037638 is an abundant number, since it is smaller than the sum of its proper divisors (95338554).

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

75037638 is a wasteful number, since it uses less digits than its factorization.

75037638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469.

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 75037638 is about 8662.4267962275. The cubic root of 75037638 is about 421.7868655616.

The spelling of 75037638 in words is "seventy-five million, thirty-seven thousand, six hundred thirty-eight".