72153018 has 96 divisors (see below), whose sum is σ = 187858944. Its totient is φ = 20330352.

The previous prime is 72152999. The next prime is 72153031. The reversal of 72153018 is 81035127.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72152982 and 72153000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431971 + ... + 432137.

It is an arithmetic number, because the mean of its divisors is an integer number (1956864).

Almost surely, 2^72153018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72153018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93929472).

72153018 is an abundant number, since it is smaller than the sum of its proper divisors (115705926).

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

72153018 is a wasteful number, since it uses less digits than its factorization.

72153018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 72153018 is about 8494.2932607722. The cubic root of 72153018 is about 416.3112692865.

The spelling of 72153018 in words is "seventy-two million, one hundred fifty-three thousand, eighteen".