75412064 has 192 divisors, whose sum is σ = 203212800. Its totient is φ = 26707968.

The previous prime is 75412037. The next prime is 75412069. The reversal of 75412064 is 46021457.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75412069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1604489 + ... + 1604535.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^75412064 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 75412064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

75412064 is an abundant number, since it is smaller than the sum of its proper divisors (127800736).

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

75412064 is a wasteful number, since it uses less digits than its factorization.

75412064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 75412064 is about 8684.0119760396. The cubic root of 75412064 is about 422.4872519291.

It can be divided in two parts, 754 and 12064, that multiplied together give a square (9096256 = 3016²).

The spelling of 75412064 in words is "seventy-five million, four hundred twelve thousand, sixty-four".