75731264 has 168 divisors, whose sum is σ = 194584320. Its totient is φ = 29030400.

The previous prime is 75731263. The next prime is 75731281. The reversal of 75731264 is 46213757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75731261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1847084 + ... + 1847124.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 2^75731264 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 75731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160).

75731264 is an abundant number, since it is smaller than the sum of its proper divisors (118853056).

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

75731264 is a wasteful number, since it uses less digits than its factorization.

75731264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 75731264 is about 8702.3711711234. The cubic root of 75731264 is about 423.0825063963.

The spelling of 75731264 in words is "seventy-five million, seven hundred thirty-one thousand, two hundred sixty-four".