73752000 has 224 divisors, whose sum is σ = 278952960. Its totient is φ = 16819200.

The previous prime is 73751983. The next prime is 73752011. The reversal of 73752000 is 25737.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 167781 + ... + 168219.

Almost surely, 2^73752000 is an apocalyptic number.

73752000 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 73752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139476480).

73752000 is an abundant number, since it is smaller than the sum of its proper divisors (205200960).

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

73752000 is a wasteful number, since it uses less digits than its factorization.

73752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 73752000 is about 8587.8984623713. The cubic root of 73752000 is about 419.3641171199.

Adding to 73752000 its reverse (25737), we get a palindrome (73777737).

The spelling of 73752000 in words is "seventy-three million, seven hundred fifty-two thousand".