75209472 has 252 divisors, whose sum is σ = 250218304. Its totient is φ = 22394880.

The previous prime is 75209461. The next prime is 75209531. The reversal of 75209472 is 27490257.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2426097 + ... + 2426127.

Almost surely, 2^75209472 is an apocalyptic number.

75209472 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 75209472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125109152).

75209472 is an abundant number, since it is smaller than the sum of its proper divisors (175008832).

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

75209472 is an equidigital number, since it uses as much as digits as its factorization.

75209472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 75209472 is about 8672.3394767502. The cubic root of 75209472 is about 422.1085799830.

The spelling of 75209472 in words is "seventy-five million, two hundred nine thousand, four hundred seventy-two".