72853632 has 48 divisors (see below), whose sum is σ = 209647230. Its totient is φ = 24284160.

The previous prime is 72853631. The next prime is 72853633. The reversal of 72853632 is 23635827.

It is an interprime number because it is at equal distance from previous prime (72853631) and next prime (72853633).

It can be written as a sum of positive squares in only one way, i.e., 66977856 + 5875776 = 8184^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (72853631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30469 + ... + 32772.

Almost surely, 2^72853632 is an apocalyptic number.

72853632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72853632 is an abundant number, since it is smaller than the sum of its proper divisors (136793598).

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

72853632 is a wasteful number, since it uses less digits than its factorization.

72853632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63261 (or 63246 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 72853632 is about 8535.4339081268. The cubic root of 72853632 is about 417.6544078492.

The spelling of 72853632 in words is "seventy-two million, eight hundred fifty-three thousand, six hundred thirty-two".