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73225578720 = 253571271571093
BaseRepresentation
bin100010000110010010…
…1011010100011100000
321000000012211211001010
41010030211122203200
52144431222004340
653350034140520
75201412102150
oct1041445324340
9230005754033
1073225578720
1129066a26108
1212237121740
136b9c7a0908
14378917c760
151d888b2b80
hex110c95a8e0

73225578720 has 384 divisors, whose sum is σ = 267624677376. Its totient is φ = 16484622336.

The previous prime is 73225578707. The next prime is 73225578757. The reversal of 73225578720 is 2787552237.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73225578720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66994494 + ... + 66995586.

It is an arithmetic number, because the mean of its divisors is an integer number (696939264).

Almost surely, 273225578720 is an apocalyptic number.

73225578720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73225578720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133812338688).

73225578720 is an abundant number, since it is smaller than the sum of its proper divisors (194399098656).

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

73225578720 is a wasteful number, since it uses less digits than its factorization.

73225578720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 73225578720 in words is "seventy-three billion, two hundred twenty-five million, five hundred seventy-eight thousand, seven hundred twenty".