73737072 has 60 divisors (see below), whose sum is σ = 208528320. Its totient is φ = 24321024.

The previous prime is 73737071. The next prime is 73737073. The reversal of 73737072 is 27073737.

It is an interprime number because it is at equal distance from previous prime (73737071) and next prime (73737073).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73737071) 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 11 ways as a sum of consecutive naturals, for example, 11329 + ... + 16607.

It is an arithmetic number, because the mean of its divisors is an integer number (3475472).

Almost surely, 2^73737072 is an apocalyptic number.

73737072 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 73737072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104264160).

73737072 is an abundant number, since it is smaller than the sum of its proper divisors (134791248).

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

73737072 is a wasteful number, since it uses less digits than its factorization.

73737072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 43218, while the sum is 36.

The square root of 73737072 is about 8587.0292884094. The cubic root of 73737072 is about 419.3358209835.

The spelling of 73737072 in words is "seventy-three million, seven hundred thirty-seven thousand, seventy-two".