73761072 has 120 divisors (see below), whose sum is σ = 241895232. Its totient is φ = 19152000.

The previous prime is 73761071. The next prime is 73761131. The reversal of 73761072 is 27016737.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73761071) 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, 24447 + ... + 27297.

Almost surely, 2^73761072 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 73761072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120947616).

73761072 is an abundant number, since it is smaller than the sum of its proper divisors (168134160).

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

73761072 is a wasteful number, since it uses less digits than its factorization.

73761072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 73761072 is about 8588.4266312288. The cubic root of 73761072 is about 419.3813112990.

It can be divided in two parts, 7376 and 1072, that added together give a palindrome (8448).

The spelling of 73761072 in words is "seventy-three million, seven hundred sixty-one thousand, seventy-two".