75164742 has 24 divisors (see below), whose sum is σ = 165090744. Its totient is φ = 24711264.

The previous prime is 75164737. The next prime is 75164753. The reversal of 75164742 is 24746157.

75164742 is a `hidden beast` number, since 7 + 5 + 1 + 647 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75164697 and 75164706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27288 + ... + 29915.

It is an arithmetic number, because the mean of its divisors is an integer number (6878781).

Almost surely, 2^75164742 is an apocalyptic number.

75164742 is an abundant number, since it is smaller than the sum of its proper divisors (89926002).

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

75164742 is a wasteful number, since it uses less digits than its factorization.

75164742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57284 (or 57281 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 75164742 is about 8669.7602042963. The cubic root of 75164742 is about 422.0248819212.

It can be divided in two parts, 751647 and 42, that added together give a square (751689 = 867²).

The spelling of 75164742 in words is "seventy-five million, one hundred sixty-four thousand, seven hundred forty-two".