72693760 has 96 divisors (see below), whose sum is σ = 180835200. Its totient is φ = 28016640.

The previous prime is 72693743. The next prime is 72693769. The reversal of 72693760 is 6739627.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72693769) 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, 317326 + ... + 317554.

It is an arithmetic number, because the mean of its divisors is an integer number (1883700).

Almost surely, 2^72693760 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 72693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90417600).

72693760 is an abundant number, since it is smaller than the sum of its proper divisors (108141440).

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

72693760 is a wasteful number, since it uses less digits than its factorization.

72693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 72693760 is about 8526.0635700187. The cubic root of 72693760 is about 417.3486800274.

The spelling of 72693760 in words is "seventy-two million, six hundred ninety-three thousand, seven hundred sixty".