74756736 has 128 divisors (see below), whose sum is σ = 223910400. Its totient is φ = 24551424.

The previous prime is 74756729. The next prime is 74756741. The reversal of 74756736 is 63765747.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (740880) is a multiple of the sum of its prime factors (343).

It is a junction number, because it is equal to n+sod(n) for n = 74756691 and 74756700.

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, 335121 + ... + 335343.

It is an arithmetic number, because the mean of its divisors is an integer number (1749300).

Almost surely, 2^74756736 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 74756736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111955200).

74756736 is an abundant number, since it is smaller than the sum of its proper divisors (149153664).

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

74756736 is a wasteful number, since it uses less digits than its factorization.

74756736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 74756736 is about 8646.1977770578. The cubic root of 74756736 is about 421.2598903483.

The spelling of 74756736 in words is "seventy-four million, seven hundred fifty-six thousand, seven hundred thirty-six".