73881072 has 100 divisors (see below), whose sum is σ = 216207640. Its totient is φ = 24354432.

The previous prime is 73881061. The next prime is 73881079. The reversal of 73881072 is 27018837.

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 (73881079) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141003 + ... + 141525.

Almost surely, 2^73881072 is an apocalyptic number.

73881072 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 73881072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108103820).

73881072 is an abundant number, since it is smaller than the sum of its proper divisors (142326568).

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

73881072 is a wasteful number, since it uses less digits than its factorization.

73881072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 73881072 is about 8595.4099378680. The cubic root of 73881072 is about 419.6086149855.

It can be divided in two parts, 738 and 81072, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 73881072 in words is "seventy-three million, eight hundred eighty-one thousand, seventy-two".