75506472 has 32 divisors (see below), whose sum is σ = 209740800. Its totient is φ = 25168752.

The previous prime is 75506429. The next prime is 75506479. The reversal of 75506472 is 27460557.

75506472 is a `hidden beast` number, since 7 + 5 + 5 + 0 + 647 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (75506479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174568 + ... + 174999.

It is an arithmetic number, because the mean of its divisors is an integer number (6554400).

Almost surely, 2^75506472 is an apocalyptic number.

75506472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75506472 is an abundant number, since it is smaller than the sum of its proper divisors (134234328).

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

75506472 is a wasteful number, since it uses less digits than its factorization.

75506472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349582 (or 349572 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 75506472 is about 8689.4460122611. The cubic root of 75506472 is about 422.6634816617.

The spelling of 75506472 in words is "seventy-five million, five hundred six thousand, four hundred seventy-two".