75721464 has 216 divisors, whose sum is σ = 260357760. Its totient is φ = 19813248.

The previous prime is 75721463. The next prime is 75721469. The reversal of 75721464 is 46412757.

It is a super-2 number, since 2×75721464² = 11467480220606592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75721463) 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 53 ways as a sum of consecutive naturals, for example, 596169 + ... + 596295.

It is an arithmetic number, because the mean of its divisors is an integer number (1205360).

Almost surely, 2^75721464 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 75721464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130178880).

75721464 is an abundant number, since it is smaller than the sum of its proper divisors (184636296).

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

75721464 is a wasteful number, since it uses less digits than its factorization.

75721464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

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

The square root of 75721464 is about 8701.8080879780. The cubic root of 75721464 is about 423.0642559530.

The spelling of 75721464 in words is "seventy-five million, seven hundred twenty-one thousand, four hundred sixty-four".