74033136 has 80 divisors (see below), whose sum is σ = 221771520. Its totient is φ = 23601600.

The previous prime is 74033129. The next prime is 74033149. The reversal of 74033136 is 63133047.

It is a happy number.

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 a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6211 + ... + 13661.

It is an arithmetic number, because the mean of its divisors is an integer number (2772144).

Almost surely, 2^74033136 is an apocalyptic number.

74033136 is the 4968-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74033136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110885760).

74033136 is an abundant number, since it is smaller than the sum of its proper divisors (147738384).

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

74033136 is a wasteful number, since it uses less digits than its factorization.

74033136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491 (or 7479 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 74033136 is about 8604.2510423627. The cubic root of 74033136 is about 419.8963009292.

The spelling of 74033136 in words is "seventy-four million, thirty-three thousand, one hundred thirty-six".