75652500 has 240 divisors, whose sum is σ = 277111296. Its totient is φ = 15600000.

The previous prime is 75652487. The next prime is 75652501. The reversal of 75652500 is 525657.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75652501) 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 79 ways as a sum of consecutive naturals, for example, 577435 + ... + 577565.

Almost surely, 2^75652500 is an apocalyptic number.

75652500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75652500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138555648).

75652500 is an abundant number, since it is smaller than the sum of its proper divisors (201458796).

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

75652500 is a wasteful number, since it uses less digits than its factorization.

75652500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 75652500 is about 8697.8445605794. The cubic root of 75652500 is about 422.9357804245.

It can be divided in two parts, 756 and 52500, that multiplied together give a square (39690000 = 6300²).

The spelling of 75652500 in words is "seventy-five million, six hundred fifty-two thousand, five hundred".