75713652 has 72 divisors (see below), whose sum is σ = 220927616. Its totient is φ = 21415104.

The previous prime is 75713633. The next prime is 75713657. The reversal of 75713652 is 25631757.

75713652 is a `hidden beast` number, since 7 + 571 + 36 + 52 = 666.

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 (75713657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24498 + ... + 27414.

Almost surely, 2^75713652 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 75713652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110463808).

75713652 is an abundant number, since it is smaller than the sum of its proper divisors (145213964).

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

75713652 is a wasteful number, since it uses less digits than its factorization.

75713652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3032 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 75713652 is about 8701.3592041703. The cubic root of 75713652 is about 423.0497066145.

The spelling of 75713652 in words is "seventy-five million, seven hundred thirteen thousand, six hundred fifty-two".