74724480 has 96 divisors (see below), whose sum is σ = 258052860. Its totient is φ = 19924992.

The previous prime is 74724467. The next prime is 74724487. The reversal of 74724480 is 8442747.

It can be written as a sum of positive squares in 2 ways, for example, as 61591104 + 13133376 = 7848^2 + 3624^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×74724480² = 11167495822540800, 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 (74724487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727 + ... + 12246.

Almost surely, 2^74724480 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 74724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129026430).

74724480 is an abundant number, since it is smaller than the sum of its proper divisors (183328380).

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

74724480 is a wasteful number, since it uses less digits than its factorization.

74724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12998 (or 12983 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 74724480 is about 8644.3322472011. The cubic root of 74724480 is about 421.1992932946.

The spelling of 74724480 in words is "seventy-four million, seven hundred twenty-four thousand, four hundred eighty".