75749625 has 48 divisors (see below), whose sum is σ = 156074880. Its totient is φ = 34624800.

The previous prime is 75749623. The next prime is 75749627. The reversal of 75749625 is 52694757.

It is an interprime number because it is at equal distance from previous prime (75749623) and next prime (75749627).

It is not a de Polignac number, because 75749625 - 2¹ = 75749623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75749621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3066 + ... + 12684.

It is an arithmetic number, because the mean of its divisors is an integer number (3251560).

Almost surely, 2^75749625 is an apocalyptic number.

75749625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75749625 is an abundant number, since it is smaller than the sum of its proper divisors (80325255).

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

75749625 is a wasteful number, since it uses less digits than its factorization.

75749625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647 (or 9634 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 75749625 is about 8703.4260495508. The cubic root of 75749625 is about 423.1166956676.

It can be divided in two parts, 75 and 749625, that added together give a triangular number (749700 = T₁₂₂₄).

The spelling of 75749625 in words is "seventy-five million, seven hundred forty-nine thousand, six hundred twenty-five".