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72046260 = 223451113311
BaseRepresentation
bin1000100101101…
…01011010110100
312000120022220000
410102311122310
5121420440020
611052111300
71533245256
oct422653264
9160508800
1072046260
1137739470
1220165530
1311c07030
1497d5cd6
1564d2090
hex44b56b4

72046260 has 240 divisors, whose sum is σ = 266378112. Its totient is φ = 16070400.

The previous prime is 72046259. The next prime is 72046267. The reversal of 72046260 is 6264027.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72046267) 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 79 ways as a sum of consecutive naturals, for example, 231505 + ... + 231815.

Almost surely, 272046260 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 72046260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189056).

72046260 is an abundant number, since it is smaller than the sum of its proper divisors (194331852).

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

72046260 is a wasteful number, since it uses less digits than its factorization.

72046260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72046260 is about 8488.0068331735. The cubic root of 72046260 is about 416.1058424594.

The spelling of 72046260 in words is "seventy-two million, forty-six thousand, two hundred sixty".