72606592 has 64 divisors (see below), whose sum is σ = 155949840. Its totient is φ = 33546240.

The previous prime is 72606571. The next prime is 72606601. The reversal of 72606592 is 29560627.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132463 + ... + 133009.

Almost surely, 2^72606592 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 72606592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77974920).

72606592 is an abundant number, since it is smaller than the sum of its proper divisors (83343248).

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

72606592 is a wasteful number, since it uses less digits than its factorization.

72606592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 72606592 is about 8520.9501817579. The cubic root of 72606592 is about 417.1817972924.

The spelling of 72606592 in words is "seventy-two million, six hundred six thousand, five hundred ninety-two".