74561928 has 192 divisors, whose sum is σ = 236390400. Its totient is φ = 19474560.

The previous prime is 74561923. The next prime is 74561933. The reversal of 74561928 is 82916547.

It is an interprime number because it is at equal distance from previous prime (74561923) and next prime (74561933).

It is a super-2 number, since 2×74561928² = 11118962214154368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (120960) is a multiple of the sum of its prime factors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 74561928.

It is not an unprimeable number, because it can be changed into a prime (74561923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1050133 + ... + 1050203.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2^74561928 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 74561928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118195200).

74561928 is an abundant number, since it is smaller than the sum of its proper divisors (161828472).

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

74561928 is a wasteful number, since it uses less digits than its factorization.

74561928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 74561928 is about 8634.9248983416. The cubic root of 74561928 is about 420.8936527421.

The spelling of 74561928 in words is "seventy-four million, five hundred sixty-one thousand, nine hundred twenty-eight".