73971072 has 96 divisors (see below), whose sum is σ = 243294480. Its totient is φ = 21132288.

The previous prime is 73971049. The next prime is 73971077. The reversal of 73971072 is 27017937.

It is a tau number, because it is divible by the number of its divisors (96).

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 (73971077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3478 + ... + 12650.

Almost surely, 2^73971072 is an apocalyptic number.

73971072 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 73971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121647240).

73971072 is an abundant number, since it is smaller than the sum of its proper divisors (169323408).

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

73971072 is a wasteful number, since it uses less digits than its factorization.

73971072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9200 (or 9185 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 73971072 is about 8600.6436968404. The cubic root of 73971072 is about 419.7789312790.

The spelling of 73971072 in words is "seventy-three million, nine hundred seventy-one thousand, seventy-two".