74941632 has 112 divisors (see below), whose sum is σ = 227584000. Its totient is φ = 24157440.

The previous prime is 74941631. The next prime is 74941637. The reversal of 74941632 is 23614947.

74941632 is a `hidden beast` number, since 7 + 494 + 163 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (74941631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52869 + ... + 54267.

It is an arithmetic number, because the mean of its divisors is an integer number (2032000).

Almost surely, 2^74941632 is an apocalyptic number.

74941632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74941632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113792000).

74941632 is an abundant number, since it is smaller than the sum of its proper divisors (152642368).

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

74941632 is a wasteful number, since it uses less digits than its factorization.

74941632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1435 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 74941632 is about 8656.8835038945. The cubic root of 74941632 is about 421.6069054195.

The spelling of 74941632 in words is "seventy-four million, nine hundred forty-one thousand, six hundred thirty-two".