74636672 has 96 divisors (see below), whose sum is σ = 168218400. Its totient is φ = 32947200.

The previous prime is 74636669. The next prime is 74636707. The reversal of 74636672 is 27663647.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 944729 + ... + 944807.

It is an arithmetic number, because the mean of its divisors is an integer number (1752275).

Almost surely, 2^74636672 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 74636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84109200).

74636672 is an abundant number, since it is smaller than the sum of its proper divisors (93581728).

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

74636672 is a wasteful number, since it uses less digits than its factorization.

74636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its digits is 254016, while the sum is 41.

The square root of 74636672 is about 8639.2518194575. The cubic root of 74636672 is about 421.0342462498.

The spelling of 74636672 in words is "seventy-four million, six hundred thirty-six thousand, six hundred seventy-two".