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72946656 = 25365359
BaseRepresentation
bin1000101100100…
…01001111100000
312002021002000000
410112101033200
5122133243111
611123300000
71544015316
oct426211740
9162232000
1072946656
11381a39a2
122051a600
1312160b03
14998c0b6
15660dc56
hex45913e0

72946656 has 168 divisors, whose sum is σ = 223103160. Its totient is φ = 23452416.

The previous prime is 72946649. The next prime is 72946673. The reversal of 72946656 is 65664927.

Its product of digits (544320) is a multiple of the sum of its prime factors (140).

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 27 ways as a sum of consecutive naturals, for example, 1236355 + ... + 1236413.

It is an arithmetic number, because the mean of its divisors is an integer number (1327995).

Almost surely, 272946656 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 72946656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111551580).

72946656 is an abundant number, since it is smaller than the sum of its proper divisors (150156504).

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

72946656 is an equidigital number, since it uses as much as digits as its factorization.

72946656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 72946656 is about 8540.8814533396. The cubic root of 72946656 is about 417.8320945256.

It can be divided in two parts, 729 and 46656, that multiplied together give a 6-th power (34012224 = 186).

The spelling of 72946656 in words is "seventy-two million, nine hundred forty-six thousand, six hundred fifty-six".