72383760 has 320 divisors, whose sum is σ = 274268160. Its totient is φ = 17487360.

The previous prime is 72383699. The next prime is 72383809. The reversal of 72383760 is 6738327.

72383760 = 1763² + 1764² + ... + 1785².

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1540057 + ... + 1540103.

It is an arithmetic number, because the mean of its divisors is an integer number (857088).

Almost surely, 2^72383760 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 72383760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137134080).

72383760 is an abundant number, since it is smaller than the sum of its proper divisors (201884400).

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

72383760 is a wasteful number, since it uses less digits than its factorization.

72383760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72383760 is about 8507.8645969479. The cubic root of 72383760 is about 416.7545784281.

The spelling of 72383760 in words is "seventy-two million, three hundred eighty-three thousand, seven hundred sixty".