201054672 has 240 divisors, whose sum is σ = 705927040. Its totient is φ = 52005888.

The previous prime is 201054653. The next prime is 201054677. The reversal of 201054672 is 276450102.

It is a super-2 number, since 2×201054672² = 80845962266055168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201054677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877854 + ... + 878082.

Almost surely, 2^201054672 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 201054672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352963520).

201054672 is an abundant number, since it is smaller than the sum of its proper divisors (504872368).

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

201054672 is a wasteful number, since it uses less digits than its factorization.

201054672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 201054672 is about 14179.3748804381. The cubic root of 201054672 is about 585.8297058622.

The spelling of 201054672 in words is "two hundred one million, fifty-four thousand, six hundred seventy-two".