72176832 has 392 divisors, whose sum is σ = 279842976. Its totient is φ = 17915904.

The previous prime is 72176821. The next prime is 72176837. The reversal of 72176832 is 23867127.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (28224) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (72176837) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4245688 + ... + 4245704.

Almost surely, 2^72176832 is an apocalyptic number.

72176832 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 72176832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139921488).

72176832 is an abundant number, since it is smaller than the sum of its proper divisors (207666144).

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

72176832 is a wasteful number, since it uses less digits than its factorization.

72176832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 42 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72176832 is about 8495.6949097764. The cubic root of 72176832 is about 416.3570652274.

The spelling of 72176832 in words is "seventy-two million, one hundred seventy-six thousand, eight hundred thirty-two".