74619972 has 144 divisors (see below), whose sum is σ = 227066112. Its totient is φ = 20217600.

The previous prime is 74619971. The next prime is 74619991. The reversal of 74619972 is 27991647.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (74619971) 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 47 ways as a sum of consecutive naturals, for example, 494097 + ... + 494247.

It is an arithmetic number, because the mean of its divisors is an integer number (1576848).

Almost surely, 2^74619972 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 74619972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113533056).

74619972 is an abundant number, since it is smaller than the sum of its proper divisors (152446140).

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

74619972 is a wasteful number, since it uses less digits than its factorization.

74619972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 253 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 74619972 is about 8638.2852465058. The cubic root of 74619972 is about 421.0028416860.

The spelling of 74619972 in words is "seventy-four million, six hundred nineteen thousand, nine hundred seventy-two".