747252000 has 768 divisors, whose sum is σ = 3226728960. Its totient is φ = 165888000.

The previous prime is 747251971. The next prime is 747252031. The reversal of 747252000 is 252747.

747252000 is a `hidden beast` number, since 74 + 72 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20195982 + ... + 20196018.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^747252000 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 747252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613364480).

747252000 is an abundant number, since it is smaller than the sum of its proper divisors (2479476960).

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

747252000 is a wasteful number, since it uses less digits than its factorization.

747252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 747252000 is about 27335.9104476145. The cubic root of 747252000 is about 907.4492834166.

The spelling of 747252000 in words is "seven hundred forty-seven million, two hundred fifty-two thousand".