74917152 has 72 divisors (see below), whose sum is σ = 224274960. Its totient is φ = 23656320.

The previous prime is 74917151. The next prime is 74917163. The reversal of 74917152 is 25171947.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×74917152² = 11225159327582208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (74917151) 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 11 ways as a sum of consecutive naturals, for example, 1374 + ... + 12317.

It is an arithmetic number, because the mean of its divisors is an integer number (3114930).

Almost surely, 2^74917152 is an apocalyptic number.

74917152 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 74917152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112137480).

74917152 is an abundant number, since it is smaller than the sum of its proper divisors (149357808).

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

74917152 is a wasteful number, since it uses less digits than its factorization.

74917152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13726 (or 13715 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 74917152 is about 8655.4694846669. The cubic root of 74917152 is about 421.5609938624.

The spelling of 74917152 in words is "seventy-four million, nine hundred seventeen thousand, one hundred fifty-two".