72923760 has 480 divisors, whose sum is σ = 320604480. Its totient is φ = 15095808.

The previous prime is 72923737. The next prime is 72923779. The reversal of 72923760 is 6732927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1375894 + ... + 1375946.

It is an arithmetic number, because the mean of its divisors is an integer number (667926).

Almost surely, 2^72923760 is an apocalyptic number.

72923760 is a gapful number since it is divisible by the number (70) 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 72923760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

72923760 is an abundant number, since it is smaller than the sum of its proper divisors (247680720).

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

72923760 is a wasteful number, since it uses less digits than its factorization.

72923760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72923760 is about 8539.5409712701. The cubic root of 72923760 is about 417.7883745195.

The spelling of 72923760 in words is "seventy-two million, nine hundred twenty-three thousand, seven hundred sixty".