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73668000 = 253537877
BaseRepresentation
bin1000110010000…
…01010110100000
312010121201111110
410121001112200
5122324334000
611150543320
71553111340
oct431012640
9163551443
1073668000
113864694a
1220807b40
1312354243
149ad8d20
156702850
hex46415a0

73668000 has 192 divisors, whose sum is σ = 276127488. Its totient is φ = 16819200.

The previous prime is 73667989. The next prime is 73668017. The reversal of 73668000 is 86637.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83562 + ... + 84438.

It is an arithmetic number, because the mean of its divisors is an integer number (1438164).

Almost surely, 273668000 is an apocalyptic number.

73668000 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 73668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138063744).

73668000 is an abundant number, since it is smaller than the sum of its proper divisors (202459488).

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

73668000 is a wasteful number, since it uses less digits than its factorization.

73668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 73668000 is about 8583.0064662681. The cubic root of 73668000 is about 419.2048447471.

The spelling of 73668000 in words is "seventy-three million, six hundred sixty-eight thousand".