72705024 has 264 divisors, whose sum is σ = 255465600. Its totient is φ = 19869696.

The previous prime is 72705023. The next prime is 72705041. The reversal of 72705024 is 42050727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72705023) 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, 3161077 + ... + 3161099.

Almost surely, 2^72705024 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 72705024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127732800).

72705024 is an abundant number, since it is smaller than the sum of its proper divisors (182760576).

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

72705024 is a wasteful number, since it uses less digits than its factorization.

72705024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 72705024 is about 8526.7241071821. The cubic root of 72705024 is about 417.3702351684.

The spelling of 72705024 in words is "seventy-two million, seven hundred five thousand, twenty-four".