74572000 has 96 divisors (see below), whose sum is σ = 186024384. Its totient is φ = 29376000.

The previous prime is 74571953. The next prime is 74572009. The reversal of 74572000 is 27547.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74572009) 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 15 ways as a sum of consecutive naturals, for example, 411910 + ... + 412090.

It is an arithmetic number, because the mean of its divisors is an integer number (1937754).

Almost surely, 2^74572000 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 74572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93012192).

74572000 is an abundant number, since it is smaller than the sum of its proper divisors (111452384).

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

74572000 is a wasteful number, since it uses less digits than its factorization.

74572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 74572000 is about 8635.5080915948. The cubic root of 74572000 is about 420.9126036559.

Adding to 74572000 its reverse (27547), we get a palindrome (74599547).

It can be divided in two parts, 7 and 4572000, that multiplied together give a triangular number (32004000 = T₈₀₀₀).

The spelling of 74572000 in words is "seventy-four million, five hundred seventy-two thousand".