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72426816 = 26327112371
BaseRepresentation
bin1000101000100…
…10010101000000
312001021122220200
410110102111000
5122020124231
611104205200
71536421620
oct424222500
9161248820
1072426816
1137979380
1220309800
131200b307
149894880
156559be6
hex4512540

72426816 has 336 divisors, whose sum is σ = 273881088. Its totient is φ = 17740800.

The previous prime is 72426773. The next prime is 72426821. The reversal of 72426816 is 61862427.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 1020061 + ... + 1020131.

Almost surely, 272426816 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 72426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940544).

72426816 is an abundant number, since it is smaller than the sum of its proper divisors (201454272).

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

72426816 is a wasteful number, since it uses less digits than its factorization.

72426816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72426816 is about 8510.3945854467. The cubic root of 72426816 is about 416.8371946967.

The spelling of 72426816 in words is "seventy-two million, four hundred twenty-six thousand, eight hundred sixteen".