72154368 has 288 divisors, whose sum is σ = 254110080. Its totient is φ = 19906560.

The previous prime is 72154367. The next prime is 72154393. The reversal of 72154368 is 86345127.

72154368 is a `hidden beast` number, since 7 + 215 + 436 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72154367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988380 + ... + 988452.

Almost surely, 2^72154368 is an apocalyptic number.

72154368 is a gapful number since it is divisible by the number (78) 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 72154368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127055040).

72154368 is an abundant number, since it is smaller than the sum of its proper divisors (181955712).

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

72154368 is a wasteful number, since it uses less digits than its factorization.

72154368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72154368 is about 8494.3727255166. The cubic root of 72154368 is about 416.3138656976.

The spelling of 72154368 in words is "seventy-two million, one hundred fifty-four thousand, three hundred sixty-eight".