74441952 has 144 divisors (see below), whose sum is σ = 232530480. Its totient is φ = 22450176.

The previous prime is 74441951. The next prime is 74441957. The reversal of 74441952 is 25914447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74441951) 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, 220728 + ... + 221064.

It is an arithmetic number, because the mean of its divisors is an integer number (1614795).

Almost surely, 2^74441952 is an apocalyptic number.

74441952 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 74441952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116265240).

74441952 is an abundant number, since it is smaller than the sum of its proper divisors (158088528).

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

74441952 is a wasteful number, since it uses less digits than its factorization.

74441952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 74441952 is about 8627.9749651932. The cubic root of 74441952 is about 420.6677812324.

The spelling of 74441952 in words is "seventy-four million, four hundred forty-one thousand, nine hundred fifty-two".