72071424 has 72 divisors (see below), whose sum is σ = 213148320. Its totient is φ = 24021504.

The previous prime is 72071423. The next prime is 72071429. The reversal of 72071424 is 42417027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72071423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1699 + ... + 12125.

Almost surely, 2^72071424 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 72071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106574160).

72071424 is an abundant number, since it is smaller than the sum of its proper divisors (141076896).

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

72071424 is a wasteful number, since it uses less digits than its factorization.

72071424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10452 (or 10432 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 72071424 is about 8489.4890305601. The cubic root of 72071424 is about 416.1542820248.

The spelling of 72071424 in words is "seventy-two million, seventy-one thousand, four hundred twenty-four".