67452000 has 384 divisors, whose sum is σ = 279272448. Its totient is φ = 13824000.

The previous prime is 67451981. The next prime is 67452013. The reversal of 67452000 is 25476.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 923964 + ... + 924036.

It is an arithmetic number, because the mean of its divisors is an integer number (727272).

Almost surely, 2^67452000 is an apocalyptic number.

67452000 is a gapful number since it is divisible by the number (60) 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 67452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139636224).

67452000 is an abundant number, since it is smaller than the sum of its proper divisors (211820448).

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

67452000 is a wasteful number, since it uses less digits than its factorization.

67452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 67452000 is about 8212.9166560973. The cubic root of 67452000 is about 407.0661069768.

Adding to 67452000 its reverse (25476), we get a palindrome (67477476).

The spelling of 67452000 in words is "sixty-seven million, four hundred fifty-two thousand".