361572000 has 192 divisors, whose sum is σ = 1226534400. Its totient is φ = 93004800.

The previous prime is 361571953. The next prime is 361572017. The reversal of 361572000 is 275163.

It is a super-2 number, since 2×361572000² = 261468622368000000, which contains 22 as substring.

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

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, 347481 + ... + 348519.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2^361572000 is an apocalyptic number.

361572000 is a gapful number since it is divisible by the number (30) 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 361572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

361572000 is an abundant number, since it is smaller than the sum of its proper divisors (864962400).

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

361572000 is a wasteful number, since it uses less digits than its factorization.

361572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 361572000 is about 19015.0466736214. The cubic root of 361572000 is about 712.4126085489.

The spelling of 361572000 in words is "three hundred sixty-one million, five hundred seventy-two thousand".