75468030 has 64 divisors (see below), whose sum is σ = 200434176. Its totient is φ = 18032000.

The previous prime is 75468017. The next prime is 75468031. The reversal of 75468030 is 3086457.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 75467982 and 75468000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75468031) 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, 21820 + ... + 25040.

It is an arithmetic number, because the mean of its divisors is an integer number (3131784).

Almost surely, 2^75468030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75468030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100217088).

75468030 is an abundant number, since it is smaller than the sum of its proper divisors (124966146).

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

75468030 is a wasteful number, since it uses less digits than its factorization.

75468030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 75468030 is about 8687.2337369268. The cubic root of 75468030 is about 422.5917404042.

It can be divided in two parts, 7546 and 8030, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 75468030 in words is "seventy-five million, four hundred sixty-eight thousand, thirty".