74971632 has 80 divisors (see below), whose sum is σ = 207843840. Its totient is φ = 23202816.

The previous prime is 74971621. The next prime is 74971639. The reversal of 74971632 is 23617947.

It is a super-3 number, since 3×74971632³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74971639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63883 + ... + 65045.

It is an arithmetic number, because the mean of its divisors is an integer number (2598048).

Almost surely, 2^74971632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74971632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103921920).

74971632 is an abundant number, since it is smaller than the sum of its proper divisors (132872208).

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

74971632 is a wasteful number, since it uses less digits than its factorization.

74971632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1264 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 74971632 is about 8658.6160556985. The cubic root of 74971632 is about 421.6631559506.

The spelling of 74971632 in words is "seventy-four million, nine hundred seventy-one thousand, six hundred thirty-two".