73613952 has 48 divisors (see below), whose sum is σ = 211835130. Its totient is φ = 24537600.

The previous prime is 73613833. The next prime is 73613957. The reversal of 73613952 is 25931637.

It can be written as a sum of positive squares in only one way, i.e., 45481536 + 28132416 = 6744^2 + 5304^2 .

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

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 (73613957) 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, 30799 + ... + 33102.

Almost surely, 2^73613952 is an apocalyptic number.

73613952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73613952 is an abundant number, since it is smaller than the sum of its proper divisors (138221178).

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

73613952 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 73613952 = (12335769)₁₃.

73613952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63921 (or 63906 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 73613952 is about 8579.8573414714. The cubic root of 73613952 is about 419.1023003286.

The spelling of 73613952 in words is "seventy-three million, six hundred thirteen thousand, nine hundred fifty-two".