72580956 has 144 divisors (see below), whose sum is σ = 214081056. Its totient is φ = 19009536.

The previous prime is 72580933. The next prime is 72580961. The reversal of 72580956 is 65908527.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529720 + ... + 529856.

It is an arithmetic number, because the mean of its divisors is an integer number (1486674).

Almost surely, 2^72580956 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 72580956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107040528).

72580956 is an abundant number, since it is smaller than the sum of its proper divisors (141500100).

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

72580956 is a wasteful number, since it uses less digits than its factorization.

72580956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 72580956 is about 8519.4457566206. The cubic root of 72580956 is about 417.1326918727.

It can be divided in two parts, 72580 and 956, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 72580956 in words is "seventy-two million, five hundred eighty thousand, nine hundred fifty-six".