72375940 has 216 divisors, whose sum is σ = 210288960. Its totient is φ = 20756736.

The previous prime is 72375913. The next prime is 72375983. The reversal of 72375940 is 4957327.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 72375940.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3146769 + ... + 3146791.

It is an arithmetic number, because the mean of its divisors is an integer number (973560).

Almost surely, 2^72375940 is an apocalyptic number.

72375940 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 72375940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105144480).

72375940 is an abundant number, since it is smaller than the sum of its proper divisors (137913020).

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

72375940 is a wasteful number, since it uses less digits than its factorization.

72375940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 72375940 is about 8507.4050097547. The cubic root of 72375940 is about 416.7395698213.

The spelling of 72375940 in words is "seventy-two million, three hundred seventy-five thousand, nine hundred forty".