75428352 has 60 divisors (see below), whose sum is σ = 217704630. Its totient is φ = 25141248.

The previous prime is 75428329. The next prime is 75428357. The reversal of 75428352 is 25382457.

It can be written as a sum of positive squares in only one way, i.e., 68956416 + 6471936 = 8304^2 + 2544^2 .

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 (75428357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3577 + ... + 12792.

Almost surely, 2^75428352 is an apocalyptic number.

75428352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75428352 is an abundant number, since it is smaller than the sum of its proper divisors (142276278).

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

75428352 is a wasteful number, since it uses less digits than its factorization.

75428352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16393 (or 16374 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 75428352 is about 8684.9497407872. The cubic root of 75428352 is about 422.5176669433.

The spelling of 75428352 in words is "seventy-five million, four hundred twenty-eight thousand, three hundred fifty-two".