74772000 has 288 divisors, whose sum is σ = 278014464. Its totient is φ = 19008000.

The previous prime is 74771989. The next prime is 74772007. The reversal of 74772000 is 27747.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (74772007) 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, 1115967 + ... + 1116033.

It is an arithmetic number, because the mean of its divisors is an integer number (965328).

Almost surely, 2^74772000 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 74772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139007232).

74772000 is an abundant number, since it is smaller than the sum of its proper divisors (203242464).

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

74772000 is a wasteful number, since it uses less digits than its factorization.

74772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 74772000 is about 8647.0804321459. The cubic root of 74772000 is about 421.2885596639.

Adding to 74772000 its reverse (27747), we get a palindrome (74799747).

The spelling of 74772000 in words is "seventy-four million, seven hundred seventy-two thousand".