75264642 has 24 divisors (see below), whose sum is σ = 163554300. Its totient is φ = 25014240.

The previous prime is 75264641. The next prime is 75264659. The reversal of 75264642 is 24646257.

75264642 is a `hidden beast` number, since 7 + 5 + 2 + 6 + 4 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62583921 + 12680721 = 7911^2 + 3561^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75264597 and 75264606.

It is not an unprimeable number, because it can be changed into a prime (75264641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292 + ... + 12272.

Almost surely, 2^75264642 is an apocalyptic number.

75264642 is an abundant number, since it is smaller than the sum of its proper divisors (88289658).

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

75264642 is a wasteful number, since it uses less digits than its factorization.

75264642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12338 (or 12335 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 75264642 is about 8675.5196962487. The cubic root of 75264642 is about 422.2117675107.

It can be divided in two parts, 75 and 264642, that multiplied together give a triangular number (19848150 = T₆₃₀₀).

The spelling of 75264642 in words is "seventy-five million, two hundred sixty-four thousand, six hundred forty-two".