215379072 has 192 divisors, whose sum is σ = 661090560. Its totient is φ = 67184640.

The previous prime is 215379019. The next prime is 215379097. The reversal of 215379072 is 270973512.

215379072 is a `hidden beast` number, since 215 + 379 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321263 + ... + 1321425.

It is an arithmetic number, because the mean of its divisors is an integer number (3443180).

Almost surely, 2^215379072 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 215379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330545280).

215379072 is an abundant number, since it is smaller than the sum of its proper divisors (445711488).

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

215379072 is a wasteful number, since it uses less digits than its factorization.

215379072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 215379072 is about 14675.7988538955. The cubic root of 215379072 is about 599.4245148713.

It can be divided in two parts, 2153 and 79072, that added together give a square (81225 = 285²).

The spelling of 215379072 in words is "two hundred fifteen million, three hundred seventy-nine thousand, seventy-two".