75672116 has 72 divisors (see below), whose sum is σ = 155441664. Its totient is φ = 32123520.

The previous prime is 75672089. The next prime is 75672119. The reversal of 75672116 is 61127657.

75672116 = T₄₉₃ + T₄₉₄ + ... + T₈₃₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75672119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481910 + ... + 482066.

It is an arithmetic number, because the mean of its divisors is an integer number (2158912).

Almost surely, 2^75672116 is an apocalyptic number.

It is an amenable number.

75672116 is an abundant number, since it is smaller than the sum of its proper divisors (79769548).

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

75672116 is a wasteful number, since it uses less digits than its factorization.

75672116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its digits is 17640, while the sum is 35.

The square root of 75672116 is about 8698.9721231879. The cubic root of 75672116 is about 422.9723317229.

The spelling of 75672116 in words is "seventy-five million, six hundred seventy-two thousand, one hundred sixteen".