74672 has 20 divisors (see below), whose sum is σ = 156240. Its totient is φ = 34368.

The previous prime is 74653. The next prime is 74687. The reversal of 74672 is 27647.

It is a super-3 number, since 3×74672³ = 1249092513337344, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 9.

It is an unprimeable number.

74672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁷⁴⁶⁷² 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 74672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

74672 is an abundant number, since it is smaller than the sum of its proper divisors (81568).

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

74672 is a wasteful number, since it uses less digits than its factorization.

74672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its digits is 2352, while the sum is 26.

The square root of 74672 is about 273.2617792521. The cubic root of 74672 is about 42.1100665573.

It can be divided in two parts, 746 and 72, that added together give a palindrome (818).

The spelling of 74672 in words is "seventy-four thousand, six hundred seventy-two".