74236960 has 144 divisors (see below), whose sum is σ = 216408024. Its totient is φ = 23912448.

The previous prime is 74236951. The next prime is 74236973. The reversal of 74236960 is 6963247.

It can be written as a sum of positive squares in 4 ways, for example, as 53406864 + 20830096 = 7308^2 + 4564^2 .

It is a super-2 number, since 2×74236960² = 11022252460083200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133002 + ... + 133558.

Almost surely, 2^74236960 is an apocalyptic number.

74236960 is a gapful number since it is divisible by the number (70) 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 74236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108204012).

74236960 is an abundant number, since it is smaller than the sum of its proper divisors (142171064).

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

74236960 is a wasteful number, since it uses less digits than its factorization.

74236960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 74236960 is about 8616.0872790380. The cubic root of 74236960 is about 420.2812930447.

The spelling of 74236960 in words is "seventy-four million, two hundred thirty-six thousand, nine hundred sixty".