72072054 has 48 divisors (see below), whose sum is σ = 166420800. Its totient is φ = 22476528.

The previous prime is 72072053. The next prime is 72072079. The reversal of 72072054 is 45027027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72072053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27117 + ... + 29655.

It is an arithmetic number, because the mean of its divisors is an integer number (3467100).

Almost surely, 2^72072054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72072054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83210400).

72072054 is an abundant number, since it is smaller than the sum of its proper divisors (94348746).

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

72072054 is a wasteful number, since it uses less digits than its factorization.

72072054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 72072054 is about 8489.5261351856. The cubic root of 72072054 is about 416.1554946017.

It can be divided in two parts, 7207 and 2054, that added together give a cube (9261 = 21³).

The spelling of 72072054 in words is "seventy-two million, seventy-two thousand, fifty-four".