75625632 has 144 divisors (see below), whose sum is σ = 227066112. Its totient is φ = 23846400.

The previous prime is 75625631. The next prime is 75625637. The reversal of 75625632 is 23652657.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (75600) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (75625631) 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, 500757 + ... + 500907.

It is an arithmetic number, because the mean of its divisors is an integer number (1576848).

Almost surely, 2^75625632 is an apocalyptic number.

75625632 is a gapful number since it is divisible by the number (72) 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 75625632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113533056).

75625632 is an abundant number, since it is smaller than the sum of its proper divisors (151440480).

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

75625632 is a wasteful number, since it uses less digits than its factorization.

75625632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 75625632 is about 8696.2999028322. The cubic root of 75625632 is about 422.8857059213.

The spelling of 75625632 in words is "seventy-five million, six hundred twenty-five thousand, six hundred thirty-two".