72545956 has 48 divisors (see below), whose sum is σ = 152764416. Its totient is φ = 29471904.

The previous prime is 72545951. The next prime is 72545981. The reversal of 72545956 is 65954527.

It is not an unprimeable number, because it can be changed into a prime (72545951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81345 + ... + 82231.

It is an arithmetic number, because the mean of its divisors is an integer number (3182592).

Almost surely, 2^72545956 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 72545956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76382208).

72545956 is an abundant number, since it is smaller than the sum of its proper divisors (80218460).

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

72545956 is a wasteful number, since it uses less digits than its factorization.

72545956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1046 counting only the distinct ones).

The product of its digits is 378000, while the sum is 43.

The square root of 72545956 is about 8517.3913846905. The cubic root of 72545956 is about 417.0656311614.

The spelling of 72545956 in words is "seventy-two million, five hundred forty-five thousand, nine hundred fifty-six".