74727072 has 144 divisors (see below), whose sum is σ = 245935872. Its totient is φ = 21081600.

The previous prime is 74727071. The next prime is 74727073. The reversal of 74727072 is 27072747.

It is an interprime number because it is at equal distance from previous prime (74727071) and next prime (74727073).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (74727071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203433 + ... + 203799.

It is an arithmetic number, because the mean of its divisors is an integer number (1707888).

Almost surely, 2^74727072 is an apocalyptic number.

74727072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74727072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122967936).

74727072 is an abundant number, since it is smaller than the sum of its proper divisors (171208800).

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

74727072 is a wasteful number, since it uses less digits than its factorization.

74727072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 74727072 is about 8644.4821707260. The cubic root of 74727072 is about 421.2041633450.

The spelling of 74727072 in words is "seventy-four million, seven hundred twenty-seven thousand, seventy-two".