72101832 has 32 divisors (see below), whose sum is σ = 196642080. Its totient is φ = 21848960.

The previous prime is 72101831. The next prime is 72101839. The reversal of 72101832 is 23810127.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72101831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136293 + ... + 136820.

It is an arithmetic number, because the mean of its divisors is an integer number (6145065).

Almost surely, 2^72101832 is an apocalyptic number.

It is an amenable number.

72101832 is an abundant number, since it is smaller than the sum of its proper divisors (124540248).

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

72101832 is a wasteful number, since it uses less digits than its factorization.

72101832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273133 (or 273129 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 72101832 is about 8491.2797622031. The cubic root of 72101832 is about 416.2128010116.

Adding to 72101832 its reverse (23810127), we get a palindrome (95911959).

The spelling of 72101832 in words is "seventy-two million, one hundred one thousand, eight hundred thirty-two".