72951690 has 48 divisors (see below), whose sum is σ = 203673312. Its totient is φ = 16674336.

The previous prime is 72951689. The next prime is 72951757. The reversal of 72951690 is 9615927.

It is a super-2 number, since 2×72951690² = 10643898147712200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23344 + ... + 26283.

It is an arithmetic number, because the mean of its divisors is an integer number (4243194).

Almost surely, 2^72951690 is an apocalyptic number.

72951690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72951690 is an abundant number, since it is smaller than the sum of its proper divisors (130721622).

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

72951690 is a wasteful number, since it uses less digits than its factorization.

72951690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49651 (or 49644 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 72951690 is about 8541.1761485173. The cubic root of 72951690 is about 417.8417057424.

The spelling of 72951690 in words is "seventy-two million, nine hundred fifty-one thousand, six hundred ninety".