72353952 has 192 divisors, whose sum is σ = 240952320. Its totient is φ = 20908800.

The previous prime is 72353951. The next prime is 72353959. The reversal of 72353952 is 25935327.

72353952 is a `hidden beast` number, since 72 + 3 + 539 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72353951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218427 + ... + 218757.

It is an arithmetic number, because the mean of its divisors is an integer number (1254960).

Almost surely, 2^72353952 is an apocalyptic number.

72353952 is a gapful number since it is divisible by the number (72) 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 72353952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120476160).

72353952 is an abundant number, since it is smaller than the sum of its proper divisors (168598368).

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

72353952 is a wasteful number, since it uses less digits than its factorization.

72353952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 72353952 is about 8506.1126256358. The cubic root of 72353952 is about 416.6973633562.

The spelling of 72353952 in words is "seventy-two million, three hundred fifty-three thousand, nine hundred fifty-two".