75295040 has 56 divisors (see below), whose sum is σ = 189856872. Its totient is φ = 28344320.

The previous prime is 75295019. The next prime is 75295067. The reversal of 75295040 is 4059257.

It can be written as a sum of positive squares in 4 ways, for example, as 10137856 + 65157184 = 3184^2 + 8072^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 75294988 and 75295006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1481 + ... + 12360.

Almost surely, 2^75295040 is an apocalyptic number.

It is an amenable number.

75295040 is an abundant number, since it is smaller than the sum of its proper divisors (114561832).

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

75295040 is a wasteful number, since it uses less digits than its factorization.

75295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13875 (or 13865 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 75295040 is about 8677.2714605456. The cubic root of 75295040 is about 422.2686010406.

The spelling of 75295040 in words is "seventy-five million, two hundred ninety-five thousand, forty".